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Finding the Fourth Proportional to 174,543.71, 261,298.88 and 107,769.13

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Solution

The fourth proportional to 174,543.71, 261,298.88 and 107,769.13 is: 161,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,543.71 : 261,298.88 = 107,769.13 : x
  2. Step 2: Convert to fraction form
    174,543.71/261,298.88 = 107,769.13/x
  3. Step 3: Cross multiply
    174,543.71x = 261,298.88 × 107,769.13
  4. Step 4: Simplify right side
    174,543.71x = 28,159,952,179.62
  5. Step 5: Solve for x
    x = 28,159,952,179.62/174,543.71
  6. Step 6: Final answer
    x = 161,334.68

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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.