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Finding the Fourth Proportional to 120,547.68, 180,796.78 and 45,642.04

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Solution

The fourth proportional to 120,547.68, 180,796.78 and 45,642.04 is: 68,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,547.68 : 180,796.78 = 45,642.04 : x
  2. Step 2: Convert to fraction form
    120,547.68/180,796.78 = 45,642.04/x
  3. Step 3: Cross multiply
    120,547.68x = 180,796.78 × 45,642.04
  4. Step 4: Simplify right side
    120,547.68x = 8,251,933,864.63
  5. Step 5: Solve for x
    x = 8,251,933,864.63/120,547.68
  6. Step 6: Final answer
    x = 68,453.69

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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.