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Finding the Fourth Proportional to 275,557.29, 412,951.05 and 148,924.59

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Solution

The fourth proportional to 275,557.29, 412,951.05 and 148,924.59 is: 223,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,557.29 : 412,951.05 = 148,924.59 : x
  2. Step 2: Convert to fraction form
    275,557.29/412,951.05 = 148,924.59/x
  3. Step 3: Cross multiply
    275,557.29x = 412,951.05 × 148,924.59
  4. Step 4: Simplify right side
    275,557.29x = 61,498,565,811.32
  5. Step 5: Solve for x
    x = 61,498,565,811.32/275,557.29
  6. Step 6: Final answer
    x = 223,178.87

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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.