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Finding the Fourth Proportional to 138,895.78, 208,358.31 and 45,401.38

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Solution

The fourth proportional to 138,895.78, 208,358.31 and 45,401.38 is: 68,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,895.78 : 208,358.31 = 45,401.38 : x
  2. Step 2: Convert to fraction form
    138,895.78/208,358.31 = 45,401.38/x
  3. Step 3: Cross multiply
    138,895.78x = 208,358.31 × 45,401.38
  4. Step 4: Simplify right side
    138,895.78x = 9,459,754,808.47
  5. Step 5: Solve for x
    x = 9,459,754,808.47/138,895.78
  6. Step 6: Final answer
    x = 68,106.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.