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Finding the Fourth Proportional to 165,164.48, 227,926.20 and 89,712.80

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Solution

The fourth proportional to 165,164.48, 227,926.20 and 89,712.80 is: 123,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,164.48 : 227,926.20 = 89,712.80 : x
  2. Step 2: Convert to fraction form
    165,164.48/227,926.20 = 89,712.80/x
  3. Step 3: Cross multiply
    165,164.48x = 227,926.20 × 89,712.80
  4. Step 4: Simplify right side
    165,164.48x = 20,447,897,595.36
  5. Step 5: Solve for x
    x = 20,447,897,595.36/165,164.48
  6. Step 6: Final answer
    x = 123,803.24

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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.