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Finding the Fourth Proportional to 102,598.76, 153,781.50 and 43,397.48

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Solution

The fourth proportional to 102,598.76, 153,781.50 and 43,397.48 is: 65,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,598.76 : 153,781.50 = 43,397.48 : x
  2. Step 2: Convert to fraction form
    102,598.76/153,781.50 = 43,397.48/x
  3. Step 3: Cross multiply
    102,598.76x = 153,781.50 × 43,397.48
  4. Step 4: Simplify right side
    102,598.76x = 6,673,729,570.62
  5. Step 5: Solve for x
    x = 6,673,729,570.62/102,598.76
  6. Step 6: Final answer
    x = 65,046.88

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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.