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Finding the Fourth Proportional to 92,215.20, 138,322.80 and 65,643.15

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Solution

The fourth proportional to 92,215.20, 138,322.80 and 65,643.15 is: 98,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,215.20 : 138,322.80 = 65,643.15 : x
  2. Step 2: Convert to fraction form
    92,215.20/138,322.80 = 65,643.15/x
  3. Step 3: Cross multiply
    92,215.20x = 138,322.80 × 65,643.15
  4. Step 4: Simplify right side
    92,215.20x = 9,079,944,308.82
  5. Step 5: Solve for x
    x = 9,079,944,308.82/92,215.20
  6. Step 6: Final answer
    x = 98,464.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.