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Finding the Fourth Proportional to 295,257.60, 442,886.40 and 82,025.10

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Solution

The fourth proportional to 295,257.60, 442,886.40 and 82,025.10 is: 123,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,257.60 : 442,886.40 = 82,025.10 : x
  2. Step 2: Convert to fraction form
    295,257.60/442,886.40 = 82,025.10/x
  3. Step 3: Cross multiply
    295,257.60x = 442,886.40 × 82,025.10
  4. Step 4: Simplify right side
    295,257.60x = 36,327,801,248.64
  5. Step 5: Solve for x
    x = 36,327,801,248.64/295,257.60
  6. Step 6: Final answer
    x = 123,037.65

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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.