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Finding the Fourth Proportional to 98,253.54, 147,239.52 and 56,046.30

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Solution

The fourth proportional to 98,253.54, 147,239.52 and 56,046.30 is: 83,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,253.54 : 147,239.52 = 56,046.30 : x
  2. Step 2: Convert to fraction form
    98,253.54/147,239.52 = 56,046.30/x
  3. Step 3: Cross multiply
    98,253.54x = 147,239.52 × 56,046.30
  4. Step 4: Simplify right side
    98,253.54x = 8,252,230,309.78
  5. Step 5: Solve for x
    x = 8,252,230,309.78/98,253.54
  6. Step 6: Final answer
    x = 83,989.14

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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.