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Finding the Fourth Proportional to 114,000.38, 157,321.02 and 62,318.52

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Solution

The fourth proportional to 114,000.38, 157,321.02 and 62,318.52 is: 85,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000.38 : 157,321.02 = 62,318.52 : x
  2. Step 2: Convert to fraction form
    114,000.38/157,321.02 = 62,318.52/x
  3. Step 3: Cross multiply
    114,000.38x = 157,321.02 × 62,318.52
  4. Step 4: Simplify right side
    114,000.38x = 9,804,013,131.29
  5. Step 5: Solve for x
    x = 9,804,013,131.29/114,000.38
  6. Step 6: Final answer
    x = 85,999.83

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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.