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Finding the Fourth Proportional to 115,984.94, 160,136.32 and 89,079.38

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Solution

The fourth proportional to 115,984.94, 160,136.32 and 89,079.38 is: 122,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,984.94 : 160,136.32 = 89,079.38 : x
  2. Step 2: Convert to fraction form
    115,984.94/160,136.32 = 89,079.38/x
  3. Step 3: Cross multiply
    115,984.94x = 160,136.32 × 89,079.38
  4. Step 4: Simplify right side
    115,984.94x = 14,264,844,101.08
  5. Step 5: Solve for x
    x = 14,264,844,101.08/115,984.94
  6. Step 6: Final answer
    x = 122,988.76

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Why These Related Problems?

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