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Finding the Fourth Proportional to 138,874.53, 208,322.60 and 45,389.73

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Solution

The fourth proportional to 138,874.53, 208,322.60 and 45,389.73 is: 68,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.53 : 208,322.60 = 45,389.73 : x
  2. Step 2: Convert to fraction form
    138,874.53/208,322.60 = 45,389.73/x
  3. Step 3: Cross multiply
    138,874.53x = 208,322.60 × 45,389.73
  4. Step 4: Simplify right side
    138,874.53x = 9,455,706,339.95
  5. Step 5: Solve for x
    x = 9,455,706,339.95/138,874.53
  6. Step 6: Final answer
    x = 68,088.12

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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.