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Finding the Fourth Proportional to 102,328.38, 141,175.71 and 62,013.06

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Solution

The fourth proportional to 102,328.38, 141,175.71 and 62,013.06 is: 85,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328.38 : 141,175.71 = 62,013.06 : x
  2. Step 2: Convert to fraction form
    102,328.38/141,175.71 = 62,013.06/x
  3. Step 3: Cross multiply
    102,328.38x = 141,175.71 × 62,013.06
  4. Step 4: Simplify right side
    102,328.38x = 8,754,737,774.77
  5. Step 5: Solve for x
    x = 8,754,737,774.77/102,328.38
  6. Step 6: Final answer
    x = 85,555.32

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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.