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Finding the Fourth Proportional to 252,442.65, 378,475.65 and 152,581.80

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Solution

The fourth proportional to 252,442.65, 378,475.65 and 152,581.80 is: 228,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,442.65 : 378,475.65 = 152,581.80 : x
  2. Step 2: Convert to fraction form
    252,442.65/378,475.65 = 152,581.80/x
  3. Step 3: Cross multiply
    252,442.65x = 378,475.65 × 152,581.80
  4. Step 4: Simplify right side
    252,442.65x = 57,748,495,933.17
  5. Step 5: Solve for x
    x = 57,748,495,933.17/252,442.65
  6. Step 6: Final answer
    x = 228,758.87

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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.