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Finding the Fourth Proportional to 191,741.40, 287,609.40 and 86,560.20

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Solution

The fourth proportional to 191,741.40, 287,609.40 and 86,560.20 is: 129,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,741.40 : 287,609.40 = 86,560.20 : x
  2. Step 2: Convert to fraction form
    191,741.40/287,609.40 = 86,560.20/x
  3. Step 3: Cross multiply
    191,741.40x = 287,609.40 × 86,560.20
  4. Step 4: Simplify right side
    191,741.40x = 24,895,527,185.88
  5. Step 5: Solve for x
    x = 24,895,527,185.88/191,741.40
  6. Step 6: Final answer
    x = 129,839.08

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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.