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Finding the Fourth Proportional to 225,412.56, 337,582.11 and 130,442.61

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Solution

The fourth proportional to 225,412.56, 337,582.11 and 130,442.61 is: 195,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,412.56 : 337,582.11 = 130,442.61 : x
  2. Step 2: Convert to fraction form
    225,412.56/337,582.11 = 130,442.61/x
  3. Step 3: Cross multiply
    225,412.56x = 337,582.11 × 130,442.61
  4. Step 4: Simplify right side
    225,412.56x = 44,035,091,517.71
  5. Step 5: Solve for x
    x = 44,035,091,517.71/225,412.56
  6. Step 6: Final answer
    x = 195,353.32

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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.