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Finding the Fourth Proportional to 120,592.29, 180,886.26 and 49,499.49

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Solution

The fourth proportional to 120,592.29, 180,886.26 and 49,499.49 is: 74,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,592.29 : 180,886.26 = 49,499.49 : x
  2. Step 2: Convert to fraction form
    120,592.29/180,886.26 = 49,499.49/x
  3. Step 3: Cross multiply
    120,592.29x = 180,886.26 × 49,499.49
  4. Step 4: Simplify right side
    120,592.29x = 8,953,777,618.01
  5. Step 5: Solve for x
    x = 8,953,777,618.01/120,592.29
  6. Step 6: Final answer
    x = 74,248.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.