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Finding the Fourth Proportional to 286,141.20, 429,406.20 and 159,781.20

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Solution

The fourth proportional to 286,141.20, 429,406.20 and 159,781.20 is: 239,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,141.20 : 429,406.20 = 159,781.20 : x
  2. Step 2: Convert to fraction form
    286,141.20/429,406.20 = 159,781.20/x
  3. Step 3: Cross multiply
    286,141.20x = 429,406.20 × 159,781.20
  4. Step 4: Simplify right side
    286,141.20x = 68,611,037,923.44
  5. Step 5: Solve for x
    x = 68,611,037,923.44/286,141.20
  6. Step 6: Final answer
    x = 239,780.35

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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.