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Finding the Fourth Proportional to 150,225.32, 207,298.68 and 85,694.24

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Solution

The fourth proportional to 150,225.32, 207,298.68 and 85,694.24 is: 118,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,225.32 : 207,298.68 = 85,694.24 : x
  2. Step 2: Convert to fraction form
    150,225.32/207,298.68 = 85,694.24/x
  3. Step 3: Cross multiply
    150,225.32x = 207,298.68 × 85,694.24
  4. Step 4: Simplify right side
    150,225.32x = 17,764,301,799.11
  5. Step 5: Solve for x
    x = 17,764,301,799.11/150,225.32
  6. Step 6: Final answer
    x = 118,251.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.