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Finding the Fourth Proportional to 253,002.16, 378,715.92 and 159,311.08

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Solution

The fourth proportional to 253,002.16, 378,715.92 and 159,311.08 is: 238,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,002.16 : 378,715.92 = 159,311.08 : x
  2. Step 2: Convert to fraction form
    253,002.16/378,715.92 = 159,311.08/x
  3. Step 3: Cross multiply
    253,002.16x = 378,715.92 × 159,311.08
  4. Step 4: Simplify right side
    253,002.16x = 60,333,642,228.39
  5. Step 5: Solve for x
    x = 60,333,642,228.39/253,002.16
  6. Step 6: Final answer
    x = 238,470.86

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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.