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Finding the Fourth Proportional to 175,876.82, 263,818.13 and 49,520.11

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Solution

The fourth proportional to 175,876.82, 263,818.13 and 49,520.11 is: 74,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,876.82 : 263,818.13 = 49,520.11 : x
  2. Step 2: Convert to fraction form
    175,876.82/263,818.13 = 49,520.11/x
  3. Step 3: Cross multiply
    175,876.82x = 263,818.13 × 49,520.11
  4. Step 4: Simplify right side
    175,876.82x = 13,064,302,281.85
  5. Step 5: Solve for x
    x = 13,064,302,281.85/175,876.82
  6. Step 6: Final answer
    x = 74,280.98

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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.