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Finding the Fourth Proportional to 98,463.86, 147,728.22 and 39,266.90

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Solution

The fourth proportional to 98,463.86, 147,728.22 and 39,266.90 is: 58,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,463.86 : 147,728.22 = 39,266.90 : x
  2. Step 2: Convert to fraction form
    98,463.86/147,728.22 = 39,266.90/x
  3. Step 3: Cross multiply
    98,463.86x = 147,728.22 × 39,266.90
  4. Step 4: Simplify right side
    98,463.86x = 5,800,829,241.92
  5. Step 5: Solve for x
    x = 5,800,829,241.92/98,463.86
  6. Step 6: Final answer
    x = 58,913.28

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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.