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Finding the Fourth Proportional to 129,304.90, 178,524.12 and 83,385.08

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Solution

The fourth proportional to 129,304.90, 178,524.12 and 83,385.08 is: 115,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,304.90 : 178,524.12 = 83,385.08 : x
  2. Step 2: Convert to fraction form
    129,304.90/178,524.12 = 83,385.08/x
  3. Step 3: Cross multiply
    129,304.90x = 178,524.12 × 83,385.08
  4. Step 4: Simplify right side
    129,304.90x = 14,886,248,028.13
  5. Step 5: Solve for x
    x = 14,886,248,028.13/129,304.90
  6. Step 6: Final answer
    x = 115,125.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.