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Finding the Fourth Proportional to 129,384.64, 178,508.10 and 105,470.20

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Solution

The fourth proportional to 129,384.64, 178,508.10 and 105,470.20 is: 145,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384.64 : 178,508.10 = 105,470.20 : x
  2. Step 2: Convert to fraction form
    129,384.64/178,508.10 = 105,470.20/x
  3. Step 3: Cross multiply
    129,384.64x = 178,508.10 × 105,470.20
  4. Step 4: Simplify right side
    129,384.64x = 18,827,285,008.62
  5. Step 5: Solve for x
    x = 18,827,285,008.62/129,384.64
  6. Step 6: Final answer
    x = 145,514.07

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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.