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Finding the Fourth Proportional to 129,394.16, 178,572.08 and 78,411.35

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Solution

The fourth proportional to 129,394.16, 178,572.08 and 78,411.35 is: 108,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,394.16 : 178,572.08 = 78,411.35 : x
  2. Step 2: Convert to fraction form
    129,394.16/178,572.08 = 78,411.35/x
  3. Step 3: Cross multiply
    129,394.16x = 178,572.08 × 78,411.35
  4. Step 4: Simplify right side
    129,394.16x = 14,002,078,648.42
  5. Step 5: Solve for x
    x = 14,002,078,648.42/129,394.16
  6. Step 6: Final answer
    x = 108,212.60

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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.