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Finding the Fourth Proportional to 275,337.42, 413,006.12 and 97,851.43

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Solution

The fourth proportional to 275,337.42, 413,006.12 and 97,851.43 is: 146,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,337.42 : 413,006.12 = 97,851.43 : x
  2. Step 2: Convert to fraction form
    275,337.42/413,006.12 = 97,851.43/x
  3. Step 3: Cross multiply
    275,337.42x = 413,006.12 × 97,851.43
  4. Step 4: Simplify right side
    275,337.42x = 40,413,239,440.75
  5. Step 5: Solve for x
    x = 40,413,239,440.75/275,337.42
  6. Step 6: Final answer
    x = 146,777.14

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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.