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Finding the Fourth Proportional to 105,616.84, 145,737.38 and 63,159.88

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Solution

The fourth proportional to 105,616.84, 145,737.38 and 63,159.88 is: 87,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.84 : 145,737.38 = 63,159.88 : x
  2. Step 2: Convert to fraction form
    105,616.84/145,737.38 = 63,159.88/x
  3. Step 3: Cross multiply
    105,616.84x = 145,737.38 × 63,159.88
  4. Step 4: Simplify right side
    105,616.84x = 9,204,755,432.31
  5. Step 5: Solve for x
    x = 9,204,755,432.31/105,616.84
  6. Step 6: Final answer
    x = 87,152.35

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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.