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Finding the Fourth Proportional to 120,582.84, 180,808.02 and 95,781.72

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Solution

The fourth proportional to 120,582.84, 180,808.02 and 95,781.72 is: 143,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,582.84 : 180,808.02 = 95,781.72 : x
  2. Step 2: Convert to fraction form
    120,582.84/180,808.02 = 95,781.72/x
  3. Step 3: Cross multiply
    120,582.84x = 180,808.02 × 95,781.72
  4. Step 4: Simplify right side
    120,582.84x = 17,318,103,145.39
  5. Step 5: Solve for x
    x = 17,318,103,145.39/120,582.84
  6. Step 6: Final answer
    x = 143,619.96

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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.