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Finding the Fourth Proportional to 100,655.10, 138,905.73 and 55,334.97

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Solution

The fourth proportional to 100,655.10, 138,905.73 and 55,334.97 is: 76,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,655.10 : 138,905.73 = 55,334.97 : x
  2. Step 2: Convert to fraction form
    100,655.10/138,905.73 = 55,334.97/x
  3. Step 3: Cross multiply
    100,655.10x = 138,905.73 × 55,334.97
  4. Step 4: Simplify right side
    100,655.10x = 7,686,344,402.38
  5. Step 5: Solve for x
    x = 7,686,344,402.38/100,655.10
  6. Step 6: Final answer
    x = 76,363.19

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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.