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Finding the Fourth Proportional to 278,030.83, 417,048.45 and 182,048.92

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Solution

The fourth proportional to 278,030.83, 417,048.45 and 182,048.92 is: 273,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,030.83 : 417,048.45 = 182,048.92 : x
  2. Step 2: Convert to fraction form
    278,030.83/417,048.45 = 182,048.92/x
  3. Step 3: Cross multiply
    278,030.83x = 417,048.45 × 182,048.92
  4. Step 4: Simplify right side
    278,030.83x = 75,923,218,184.87
  5. Step 5: Solve for x
    x = 75,923,218,184.87/278,030.83
  6. Step 6: Final answer
    x = 273,074.82

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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.