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Finding the Fourth Proportional to 138,632.30, 207,948.45 and 68,497.10

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Solution

The fourth proportional to 138,632.30, 207,948.45 and 68,497.10 is: 102,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,632.30 : 207,948.45 = 68,497.10 : x
  2. Step 2: Convert to fraction form
    138,632.30/207,948.45 = 68,497.10/x
  3. Step 3: Cross multiply
    138,632.30x = 207,948.45 × 68,497.10
  4. Step 4: Simplify right side
    138,632.30x = 14,243,865,774.50
  5. Step 5: Solve for x
    x = 14,243,865,774.50/138,632.30
  6. Step 6: Final answer
    x = 102,745.65

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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.