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Finding the Fourth Proportional to 287,843.60, 431,765.40 and 100,830.80

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Solution

The fourth proportional to 287,843.60, 431,765.40 and 100,830.80 is: 151,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,843.60 : 431,765.40 = 100,830.80 : x
  2. Step 2: Convert to fraction form
    287,843.60/431,765.40 = 100,830.80/x
  3. Step 3: Cross multiply
    287,843.60x = 431,765.40 × 100,830.80
  4. Step 4: Simplify right side
    287,843.60x = 43,535,250,694.32
  5. Step 5: Solve for x
    x = 43,535,250,694.32/287,843.60
  6. Step 6: Final answer
    x = 151,246.20

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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.