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Finding the Fourth Proportional to 177,898.04, 266,951.82 and 65,657.24

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Solution

The fourth proportional to 177,898.04, 266,951.82 and 65,657.24 is: 98,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,898.04 : 266,951.82 = 65,657.24 : x
  2. Step 2: Convert to fraction form
    177,898.04/266,951.82 = 65,657.24/x
  3. Step 3: Cross multiply
    177,898.04x = 266,951.82 × 65,657.24
  4. Step 4: Simplify right side
    177,898.04x = 17,527,319,714.18
  5. Step 5: Solve for x
    x = 17,527,319,714.18/177,898.04
  6. Step 6: Final answer
    x = 98,524.52

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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.