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Finding the Fourth Proportional to 103,407.84, 142,702.74 and 58,695.84

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Solution

The fourth proportional to 103,407.84, 142,702.74 and 58,695.84 is: 81,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,407.84 : 142,702.74 = 58,695.84 : x
  2. Step 2: Convert to fraction form
    103,407.84/142,702.74 = 58,695.84/x
  3. Step 3: Cross multiply
    103,407.84x = 142,702.74 × 58,695.84
  4. Step 4: Simplify right side
    103,407.84x = 8,376,057,194.60
  5. Step 5: Solve for x
    x = 8,376,057,194.60/103,407.84
  6. Step 6: Final answer
    x = 81,000.21

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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.