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Finding the Fourth Proportional to 120,553.88, 180,818.06 and 49,484.01

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Solution

The fourth proportional to 120,553.88, 180,818.06 and 49,484.01 is: 74,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,553.88 : 180,818.06 = 49,484.01 : x
  2. Step 2: Convert to fraction form
    120,553.88/180,818.06 = 49,484.01/x
  3. Step 3: Cross multiply
    120,553.88x = 180,818.06 × 49,484.01
  4. Step 4: Simplify right side
    120,553.88x = 8,947,602,441.80
  5. Step 5: Solve for x
    x = 8,947,602,441.80/120,553.88
  6. Step 6: Final answer
    x = 74,220.78

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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.