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Finding the Fourth Proportional to 204,027.40, 306,041.10 and 156,788.20

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Solution

The fourth proportional to 204,027.40, 306,041.10 and 156,788.20 is: 235,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,027.40 : 306,041.10 = 156,788.20 : x
  2. Step 2: Convert to fraction form
    204,027.40/306,041.10 = 156,788.20/x
  3. Step 3: Cross multiply
    204,027.40x = 306,041.10 × 156,788.20
  4. Step 4: Simplify right side
    204,027.40x = 47,983,633,195.02
  5. Step 5: Solve for x
    x = 47,983,633,195.02/204,027.40
  6. Step 6: Final answer
    x = 235,182.30

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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.