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Finding the Fourth Proportional to 273,760.72, 410,641.12 and 103,014.57

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Solution

The fourth proportional to 273,760.72, 410,641.12 and 103,014.57 is: 154,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,760.72 : 410,641.12 = 103,014.57 : x
  2. Step 2: Convert to fraction form
    273,760.72/410,641.12 = 103,014.57/x
  3. Step 3: Cross multiply
    273,760.72x = 410,641.12 × 103,014.57
  4. Step 4: Simplify right side
    273,760.72x = 42,302,020,069.79
  5. Step 5: Solve for x
    x = 42,302,020,069.79/273,760.72
  6. Step 6: Final answer
    x = 154,521.88

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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.