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Finding the Fourth Proportional to 286,100.40, 429,150.60 and 160,129.20

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Solution

The fourth proportional to 286,100.40, 429,150.60 and 160,129.20 is: 240,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,100.40 : 429,150.60 = 160,129.20 : x
  2. Step 2: Convert to fraction form
    286,100.40/429,150.60 = 160,129.20/x
  3. Step 3: Cross multiply
    286,100.40x = 429,150.60 × 160,129.20
  4. Step 4: Simplify right side
    286,100.40x = 68,719,542,257.52
  5. Step 5: Solve for x
    x = 68,719,542,257.52/286,100.40
  6. Step 6: Final answer
    x = 240,193.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.