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Finding the Fourth Proportional to 113,967.24, 157,258.17 and 71,539.44

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Solution

The fourth proportional to 113,967.24, 157,258.17 and 71,539.44 is: 98,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,967.24 : 157,258.17 = 71,539.44 : x
  2. Step 2: Convert to fraction form
    113,967.24/157,258.17 = 71,539.44/x
  3. Step 3: Cross multiply
    113,967.24x = 157,258.17 × 71,539.44
  4. Step 4: Simplify right side
    113,967.24x = 11,250,161,417.22
  5. Step 5: Solve for x
    x = 11,250,161,417.22/113,967.24
  6. Step 6: Final answer
    x = 98,713.99

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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.