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Finding the Fourth Proportional to 151,695.32, 209,338.08 and 83,712.92

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Solution

The fourth proportional to 151,695.32, 209,338.08 and 83,712.92 is: 115,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,695.32 : 209,338.08 = 83,712.92 : x
  2. Step 2: Convert to fraction form
    151,695.32/209,338.08 = 83,712.92/x
  3. Step 3: Cross multiply
    151,695.32x = 209,338.08 × 83,712.92
  4. Step 4: Simplify right side
    151,695.32x = 17,524,301,943.99
  5. Step 5: Solve for x
    x = 17,524,301,943.99/151,695.32
  6. Step 6: Final answer
    x = 115,523.02

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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.