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Finding the Fourth Proportional to 275,717.84, 413,350.73 and 98,123.72

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Solution

The fourth proportional to 275,717.84, 413,350.73 and 98,123.72 is: 147,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,717.84 : 413,350.73 = 98,123.72 : x
  2. Step 2: Convert to fraction form
    275,717.84/413,350.73 = 98,123.72/x
  3. Step 3: Cross multiply
    275,717.84x = 413,350.73 × 98,123.72
  4. Step 4: Simplify right side
    275,717.84x = 40,559,511,292.32
  5. Step 5: Solve for x
    x = 40,559,511,292.32/275,717.84
  6. Step 6: Final answer
    x = 147,105.14

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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.