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Finding the Fourth Proportional to 191,810.80, 287,716.20 and 86,834.80

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Solution

The fourth proportional to 191,810.80, 287,716.20 and 86,834.80 is: 130,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,810.80 : 287,716.20 = 86,834.80 : x
  2. Step 2: Convert to fraction form
    191,810.80/287,716.20 = 86,834.80/x
  3. Step 3: Cross multiply
    191,810.80x = 287,716.20 × 86,834.80
  4. Step 4: Simplify right side
    191,810.80x = 24,983,778,683.76
  5. Step 5: Solve for x
    x = 24,983,778,683.76/191,810.80
  6. Step 6: Final answer
    x = 130,252.20

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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.