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Finding the Fourth Proportional to 102,614.20, 153,921.30 and 36,129.40

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Solution

The fourth proportional to 102,614.20, 153,921.30 and 36,129.40 is: 54,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,614.20 : 153,921.30 = 36,129.40 : x
  2. Step 2: Convert to fraction form
    102,614.20/153,921.30 = 36,129.40/x
  3. Step 3: Cross multiply
    102,614.20x = 153,921.30 × 36,129.40
  4. Step 4: Simplify right side
    102,614.20x = 5,561,084,216.22
  5. Step 5: Solve for x
    x = 5,561,084,216.22/102,614.20
  6. Step 6: Final answer
    x = 54,194.10

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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.