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Finding the Fourth Proportional to 164,924.52, 227,595.92 and 89,473

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Solution

The fourth proportional to 164,924.52, 227,595.92 and 89,473 is: 123,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,924.52 : 227,595.92 = 89,473 : x
  2. Step 2: Convert to fraction form
    164,924.52/227,595.92 = 89,473/x
  3. Step 3: Cross multiply
    164,924.52x = 227,595.92 × 89,473
  4. Step 4: Simplify right side
    164,924.52x = 20,363,689,750.16
  5. Step 5: Solve for x
    x = 20,363,689,750.16/164,924.52
  6. Step 6: Final answer
    x = 123,472.78

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Why These Related Problems?

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