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Finding the Fourth Proportional to 98,254.92, 135,454.44 and 83,086.68

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Solution

The fourth proportional to 98,254.92, 135,454.44 and 83,086.68 is: 114,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,254.92 : 135,454.44 = 83,086.68 : x
  2. Step 2: Convert to fraction form
    98,254.92/135,454.44 = 83,086.68/x
  3. Step 3: Cross multiply
    98,254.92x = 135,454.44 × 83,086.68
  4. Step 4: Simplify right side
    98,254.92x = 11,254,459,710.86
  5. Step 5: Solve for x
    x = 11,254,459,710.86/98,254.92
  6. Step 6: Final answer
    x = 114,543.47

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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.