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Finding the Fourth Proportional to 120,617.82, 180,927.24 and 50,447.94

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Solution

The fourth proportional to 120,617.82, 180,927.24 and 50,447.94 is: 75,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,617.82 : 180,927.24 = 50,447.94 : x
  2. Step 2: Convert to fraction form
    120,617.82/180,927.24 = 50,447.94/x
  3. Step 3: Cross multiply
    120,617.82x = 180,927.24 × 50,447.94
  4. Step 4: Simplify right side
    120,617.82x = 9,127,406,547.89
  5. Step 5: Solve for x
    x = 9,127,406,547.89/120,617.82
  6. Step 6: Final answer
    x = 75,672.12

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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.