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Finding the Fourth Proportional to 231,253.44, 346,872.24 and 98,047.92

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Solution

The fourth proportional to 231,253.44, 346,872.24 and 98,047.92 is: 147,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,253.44 : 346,872.24 = 98,047.92 : x
  2. Step 2: Convert to fraction form
    231,253.44/346,872.24 = 98,047.92/x
  3. Step 3: Cross multiply
    231,253.44x = 346,872.24 × 98,047.92
  4. Step 4: Simplify right side
    231,253.44x = 34,010,101,637.74
  5. Step 5: Solve for x
    x = 34,010,101,637.74/231,253.44
  6. Step 6: Final answer
    x = 147,068.52

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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.