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Finding the Fourth Proportional to 226,471.20, 312,547.68 and 135,830.64

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Solution

The fourth proportional to 226,471.20, 312,547.68 and 135,830.64 is: 187,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,471.20 : 312,547.68 = 135,830.64 : x
  2. Step 2: Convert to fraction form
    226,471.20/312,547.68 = 135,830.64/x
  3. Step 3: Cross multiply
    226,471.20x = 312,547.68 × 135,830.64
  4. Step 4: Simplify right side
    226,471.20x = 42,453,551,404.92
  5. Step 5: Solve for x
    x = 42,453,551,404.92/226,471.20
  6. Step 6: Final answer
    x = 187,456.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.