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Finding the Fourth Proportional to 177,378.73, 265,909.87 and 65,032.71

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Solution

The fourth proportional to 177,378.73, 265,909.87 and 65,032.71 is: 97,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,378.73 : 265,909.87 = 65,032.71 : x
  2. Step 2: Convert to fraction form
    177,378.73/265,909.87 = 65,032.71/x
  3. Step 3: Cross multiply
    177,378.73x = 265,909.87 × 65,032.71
  4. Step 4: Simplify right side
    177,378.73x = 17,292,838,545.98
  5. Step 5: Solve for x
    x = 17,292,838,545.98/177,378.73
  6. Step 6: Final answer
    x = 97,491.05

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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.