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Finding the Fourth Proportional to 157,297.32, 235,712.66 and 115,540.20

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Solution

The fourth proportional to 157,297.32, 235,712.66 and 115,540.20 is: 173,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,297.32 : 235,712.66 = 115,540.20 : x
  2. Step 2: Convert to fraction form
    157,297.32/235,712.66 = 115,540.20/x
  3. Step 3: Cross multiply
    157,297.32x = 235,712.66 × 115,540.20
  4. Step 4: Simplify right side
    157,297.32x = 27,234,287,301.23
  5. Step 5: Solve for x
    x = 27,234,287,301.23/157,297.32
  6. Step 6: Final answer
    x = 173,138.91

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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.