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Finding the Fourth Proportional to 191,454.86, 287,182.33 and 86,150.80

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Solution

The fourth proportional to 191,454.86, 287,182.33 and 86,150.80 is: 129,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,454.86 : 287,182.33 = 86,150.80 : x
  2. Step 2: Convert to fraction form
    191,454.86/287,182.33 = 86,150.80/x
  3. Step 3: Cross multiply
    191,454.86x = 287,182.33 × 86,150.80
  4. Step 4: Simplify right side
    191,454.86x = 24,740,987,475.36
  5. Step 5: Solve for x
    x = 24,740,987,475.36/191,454.86
  6. Step 6: Final answer
    x = 129,226.22

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1.5x scale

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.