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Finding the Fourth Proportional to 106,702.92, 147,242.88 and 58,955.85

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Solution

The fourth proportional to 106,702.92, 147,242.88 and 58,955.85 is: 81,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,702.92 : 147,242.88 = 58,955.85 : x
  2. Step 2: Convert to fraction form
    106,702.92/147,242.88 = 58,955.85/x
  3. Step 3: Cross multiply
    106,702.92x = 147,242.88 × 58,955.85
  4. Step 4: Simplify right side
    106,702.92x = 8,680,829,146.85
  5. Step 5: Solve for x
    x = 8,680,829,146.85/106,702.92
  6. Step 6: Final answer
    x = 81,355.12

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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.