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Finding the Fourth Proportional to 118,159.65, 177,262.54 and 38,217.48

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Solution

The fourth proportional to 118,159.65, 177,262.54 and 38,217.48 is: 57,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,159.65 : 177,262.54 = 38,217.48 : x
  2. Step 2: Convert to fraction form
    118,159.65/177,262.54 = 38,217.48/x
  3. Step 3: Cross multiply
    118,159.65x = 177,262.54 × 38,217.48
  4. Step 4: Simplify right side
    118,159.65x = 6,774,527,577.20
  5. Step 5: Solve for x
    x = 6,774,527,577.20/118,159.65
  6. Step 6: Final answer
    x = 57,333.68

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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.