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Finding the Fourth Proportional to 138,427.67, 191,033.15 and 77,177.63

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Solution

The fourth proportional to 138,427.67, 191,033.15 and 77,177.63 is: 106,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,427.67 : 191,033.15 = 77,177.63 : x
  2. Step 2: Convert to fraction form
    138,427.67/191,033.15 = 77,177.63/x
  3. Step 3: Cross multiply
    138,427.67x = 191,033.15 × 77,177.63
  4. Step 4: Simplify right side
    138,427.67x = 14,743,484,427.38
  5. Step 5: Solve for x
    x = 14,743,484,427.38/138,427.67
  6. Step 6: Final answer
    x = 106,506.78

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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.