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Finding the Fourth Proportional to 138,740.32, 191,461.80 and 75,078.12

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Solution

The fourth proportional to 138,740.32, 191,461.80 and 75,078.12 is: 103,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,740.32 : 191,461.80 = 75,078.12 : x
  2. Step 2: Convert to fraction form
    138,740.32/191,461.80 = 75,078.12/x
  3. Step 3: Cross multiply
    138,740.32x = 191,461.80 × 75,078.12
  4. Step 4: Simplify right side
    138,740.32x = 14,374,591,995.82
  5. Step 5: Solve for x
    x = 14,374,591,995.82/138,740.32
  6. Step 6: Final answer
    x = 103,607.89

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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.