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Finding the Fourth Proportional to 113,600.10, 156,768.74 and 65,198.16

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Solution

The fourth proportional to 113,600.10, 156,768.74 and 65,198.16 is: 89,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,600.10 : 156,768.74 = 65,198.16 : x
  2. Step 2: Convert to fraction form
    113,600.10/156,768.74 = 65,198.16/x
  3. Step 3: Cross multiply
    113,600.10x = 156,768.74 × 65,198.16
  4. Step 4: Simplify right side
    113,600.10x = 10,221,033,393.52
  5. Step 5: Solve for x
    x = 10,221,033,393.52/113,600.10
  6. Step 6: Final answer
    x = 89,973.81

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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.