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Finding the Fourth Proportional to 275,098.88, 412,767.10 and 148,828.08

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Solution

The fourth proportional to 275,098.88, 412,767.10 and 148,828.08 is: 223,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,098.88 : 412,767.10 = 148,828.08 : x
  2. Step 2: Convert to fraction form
    275,098.88/412,767.10 = 148,828.08/x
  3. Step 3: Cross multiply
    275,098.88x = 412,767.10 × 148,828.08
  4. Step 4: Simplify right side
    275,098.88x = 61,431,334,980.17
  5. Step 5: Solve for x
    x = 61,431,334,980.17/275,098.88
  6. Step 6: Final answer
    x = 223,306.38

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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.