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Finding the Fourth Proportional to 116,000,136.50, 160,041,013.02 and 65,758,968.77

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Solution

The fourth proportional to 116,000,136.50, 160,041,013.02 and 65,758,968.77 is: 90,725,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,000,136.50 : 160,041,013.02 = 65,758,968.77 : x
  2. Step 2: Convert to fraction form
    116,000,136.50/160,041,013.02 = 65,758,968.77/x
  3. Step 3: Cross multiply
    116,000,136.50x = 160,041,013.02 × 65,758,968.77
  4. Step 4: Simplify right side
    116,000,136.50x = 10,524,131,977,101,344
  5. Step 5: Solve for x
    x = 10,524,131,977,101,344/116,000,136.50
  6. Step 6: Final answer
    x = 90,725,168.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.