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Finding the Fourth Proportional to 252,001.60, 377,224.80 and 146,507.20

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Solution

The fourth proportional to 252,001.60, 377,224.80 and 146,507.20 is: 219,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,001.60 : 377,224.80 = 146,507.20 : x
  2. Step 2: Convert to fraction form
    252,001.60/377,224.80 = 146,507.20/x
  3. Step 3: Cross multiply
    252,001.60x = 377,224.80 × 146,507.20
  4. Step 4: Simplify right side
    252,001.60x = 55,266,149,218.56
  5. Step 5: Solve for x
    x = 55,266,149,218.56/252,001.60
  6. Step 6: Final answer
    x = 219,308.72

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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.