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Finding the Fourth Proportional to 164,098.41, 226,456.02 and 88,646.91

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Solution

The fourth proportional to 164,098.41, 226,456.02 and 88,646.91 is: 122,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,098.41 : 226,456.02 = 88,646.91 : x
  2. Step 2: Convert to fraction form
    164,098.41/226,456.02 = 88,646.91/x
  3. Step 3: Cross multiply
    164,098.41x = 226,456.02 × 88,646.91
  4. Step 4: Simplify right side
    164,098.41x = 20,074,625,574.69
  5. Step 5: Solve for x
    x = 20,074,625,574.69/164,098.41
  6. Step 6: Final answer
    x = 122,332.85

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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.