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Finding the Fourth Proportional to 191,716.20, 287,574.30 and 180,829.80

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Solution

The fourth proportional to 191,716.20, 287,574.30 and 180,829.80 is: 271,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,716.20 : 287,574.30 = 180,829.80 : x
  2. Step 2: Convert to fraction form
    191,716.20/287,574.30 = 180,829.80/x
  3. Step 3: Cross multiply
    191,716.20x = 287,574.30 × 180,829.80
  4. Step 4: Simplify right side
    191,716.20x = 52,002,003,154.14
  5. Step 5: Solve for x
    x = 52,002,003,154.14/191,716.20
  6. Step 6: Final answer
    x = 271,244.70

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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.