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Finding the Fourth Proportional to 316,760.32, 475,144.13 and 106,398.28

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Solution

The fourth proportional to 316,760.32, 475,144.13 and 106,398.28 is: 159,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,760.32 : 475,144.13 = 106,398.28 : x
  2. Step 2: Convert to fraction form
    316,760.32/475,144.13 = 106,398.28/x
  3. Step 3: Cross multiply
    316,760.32x = 475,144.13 × 106,398.28
  4. Step 4: Simplify right side
    316,760.32x = 50,554,518,184.10
  5. Step 5: Solve for x
    x = 50,554,518,184.10/316,760.32
  6. Step 6: Final answer
    x = 159,598.65

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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.