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Finding the Fourth Proportional to 120,527.76, 180,613.62 and 113,788.02

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Solution

The fourth proportional to 120,527.76, 180,613.62 and 113,788.02 is: 170,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,527.76 : 180,613.62 = 113,788.02 : x
  2. Step 2: Convert to fraction form
    120,527.76/180,613.62 = 113,788.02/x
  3. Step 3: Cross multiply
    120,527.76x = 180,613.62 × 113,788.02
  4. Step 4: Simplify right side
    120,527.76x = 20,551,666,204.83
  5. Step 5: Solve for x
    x = 20,551,666,204.83/120,527.76
  6. Step 6: Final answer
    x = 170,513.96

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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.