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Finding the Fourth Proportional to 205,425.60, 307,533.60 and 153,067.20

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Solution

The fourth proportional to 205,425.60, 307,533.60 and 153,067.20 is: 229,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,425.60 : 307,533.60 = 153,067.20 : x
  2. Step 2: Convert to fraction form
    205,425.60/307,533.60 = 153,067.20/x
  3. Step 3: Cross multiply
    205,425.60x = 307,533.60 × 153,067.20
  4. Step 4: Simplify right side
    205,425.60x = 47,073,307,057.92
  5. Step 5: Solve for x
    x = 47,073,307,057.92/205,425.60
  6. Step 6: Final answer
    x = 229,150.15

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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.