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Finding the Fourth Proportional to 165,148.56, 227,904.84 and 89,697.12

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Solution

The fourth proportional to 165,148.56, 227,904.84 and 89,697.12 is: 123,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,148.56 : 227,904.84 = 89,697.12 : x
  2. Step 2: Convert to fraction form
    165,148.56/227,904.84 = 89,697.12/x
  3. Step 3: Cross multiply
    165,148.56x = 227,904.84 × 89,697.12
  4. Step 4: Simplify right side
    165,148.56x = 20,442,407,782.06
  5. Step 5: Solve for x
    x = 20,442,407,782.06/165,148.56
  6. Step 6: Final answer
    x = 123,781.93

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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.