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Finding the Fourth Proportional to 164,737.66, 227,337.96 and 89,286.16

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Solution

The fourth proportional to 164,737.66, 227,337.96 and 89,286.16 is: 123,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,737.66 : 227,337.96 = 89,286.16 : x
  2. Step 2: Convert to fraction form
    164,737.66/227,337.96 = 89,286.16/x
  3. Step 3: Cross multiply
    164,737.66x = 227,337.96 × 89,286.16
  4. Step 4: Simplify right side
    164,737.66x = 20,298,133,470.63
  5. Step 5: Solve for x
    x = 20,298,133,470.63/164,737.66
  6. Step 6: Final answer
    x = 123,214.89

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1.5x scale

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.