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Finding the Fourth Proportional to 151,689.92, 227,508.96 and 40,856

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Solution

The fourth proportional to 151,689.92, 227,508.96 and 40,856 is: 61,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,689.92 : 227,508.96 = 40,856 : x
  2. Step 2: Convert to fraction form
    151,689.92/227,508.96 = 40,856/x
  3. Step 3: Cross multiply
    151,689.92x = 227,508.96 × 40,856
  4. Step 4: Simplify right side
    151,689.92x = 9,295,106,069.76
  5. Step 5: Solve for x
    x = 9,295,106,069.76/151,689.92
  6. Step 6: Final answer
    x = 61,277.02

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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.