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Finding the Fourth Proportional to 138,877.98, 191,663.40 and 78,459.72

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Solution

The fourth proportional to 138,877.98, 191,663.40 and 78,459.72 is: 108,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,877.98 : 191,663.40 = 78,459.72 : x
  2. Step 2: Convert to fraction form
    138,877.98/191,663.40 = 78,459.72/x
  3. Step 3: Cross multiply
    138,877.98x = 191,663.40 × 78,459.72
  4. Step 4: Simplify right side
    138,877.98x = 15,037,856,698.25
  5. Step 5: Solve for x
    x = 15,037,856,698.25/138,877.98
  6. Step 6: Final answer
    x = 108,281.07

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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.