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Finding the Fourth Proportional to 454,373.96, 681,683.65 and 138,822.26

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Solution

The fourth proportional to 454,373.96, 681,683.65 and 138,822.26 is: 208,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,373.96 : 681,683.65 = 138,822.26 : x
  2. Step 2: Convert to fraction form
    454,373.96/681,683.65 = 138,822.26/x
  3. Step 3: Cross multiply
    454,373.96x = 681,683.65 × 138,822.26
  4. Step 4: Simplify right side
    454,373.96x = 94,632,861,142.58
  5. Step 5: Solve for x
    x = 94,632,861,142.58/454,373.96
  6. Step 6: Final answer
    x = 208,270.87

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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.