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Finding the Fourth Proportional to 138,454.56, 191,070.36 and 81,866.88

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Solution

The fourth proportional to 138,454.56, 191,070.36 and 81,866.88 is: 112,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,454.56 : 191,070.36 = 81,866.88 : x
  2. Step 2: Convert to fraction form
    138,454.56/191,070.36 = 81,866.88/x
  3. Step 3: Cross multiply
    138,454.56x = 191,070.36 × 81,866.88
  4. Step 4: Simplify right side
    138,454.56x = 15,642,334,233.68
  5. Step 5: Solve for x
    x = 15,642,334,233.68/138,454.56
  6. Step 6: Final answer
    x = 112,978.11

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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.