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Finding the Fourth Proportional to 252,228.52, 378,165.42 and 117,149.19

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Solution

The fourth proportional to 252,228.52, 378,165.42 and 117,149.19 is: 175,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,228.52 : 378,165.42 = 117,149.19 : x
  2. Step 2: Convert to fraction form
    252,228.52/378,165.42 = 117,149.19/x
  3. Step 3: Cross multiply
    252,228.52x = 378,165.42 × 117,149.19
  4. Step 4: Simplify right side
    252,228.52x = 44,301,771,220.89
  5. Step 5: Solve for x
    x = 44,301,771,220.89/252,228.52
  6. Step 6: Final answer
    x = 175,641.40

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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.