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Finding the Fourth Proportional to 273,854.72, 410,678.40 and 107,552

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Solution

The fourth proportional to 273,854.72, 410,678.40 and 107,552 is: 161,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,854.72 : 410,678.40 = 107,552 : x
  2. Step 2: Convert to fraction form
    273,854.72/410,678.40 = 107,552/x
  3. Step 3: Cross multiply
    273,854.72x = 410,678.40 × 107,552
  4. Step 4: Simplify right side
    273,854.72x = 44,169,283,276.80
  5. Step 5: Solve for x
    x = 44,169,283,276.80/273,854.72
  6. Step 6: Final answer
    x = 161,287.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.