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Finding the Fourth Proportional to 216,704.84, 299,128.02 and 148,946.60

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Solution

The fourth proportional to 216,704.84, 299,128.02 and 148,946.60 is: 205,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,704.84 : 299,128.02 = 148,946.60 : x
  2. Step 2: Convert to fraction form
    216,704.84/299,128.02 = 148,946.60/x
  3. Step 3: Cross multiply
    216,704.84x = 299,128.02 × 148,946.60
  4. Step 4: Simplify right side
    216,704.84x = 44,554,101,543.73
  5. Step 5: Solve for x
    x = 44,554,101,543.73/216,704.84
  6. Step 6: Final answer
    x = 205,598.09

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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.