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Finding the Fourth Proportional to 120,911.95, 181,367.71 and 32,165.46

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Solution

The fourth proportional to 120,911.95, 181,367.71 and 32,165.46 is: 48,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,911.95 : 181,367.71 = 32,165.46 : x
  2. Step 2: Convert to fraction form
    120,911.95/181,367.71 = 32,165.46/x
  3. Step 3: Cross multiply
    120,911.95x = 181,367.71 × 32,165.46
  4. Step 4: Simplify right side
    120,911.95x = 5,833,776,071.95
  5. Step 5: Solve for x
    x = 5,833,776,071.95/120,911.95
  6. Step 6: Final answer
    x = 48,248.13

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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.