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Finding the Fourth Proportional to 138,551.31, 191,183.69 and 77,283.11

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Solution

The fourth proportional to 138,551.31, 191,183.69 and 77,283.11 is: 106,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,551.31 : 191,183.69 = 77,283.11 : x
  2. Step 2: Convert to fraction form
    138,551.31/191,183.69 = 77,283.11/x
  3. Step 3: Cross multiply
    138,551.31x = 191,183.69 × 77,283.11
  4. Step 4: Simplify right side
    138,551.31x = 14,775,270,815.64
  5. Step 5: Solve for x
    x = 14,775,270,815.64/138,551.31
  6. Step 6: Final answer
    x = 106,641.15

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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.