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Finding the Fourth Proportional to 286,092.40, 429,138.60 and 160,121.20

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Solution

The fourth proportional to 286,092.40, 429,138.60 and 160,121.20 is: 240,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,092.40 : 429,138.60 = 160,121.20 : x
  2. Step 2: Convert to fraction form
    286,092.40/429,138.60 = 160,121.20/x
  3. Step 3: Cross multiply
    286,092.40x = 429,138.60 × 160,121.20
  4. Step 4: Simplify right side
    286,092.40x = 68,714,187,598.32
  5. Step 5: Solve for x
    x = 68,714,187,598.32/286,092.40
  6. Step 6: Final answer
    x = 240,181.80

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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.