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Finding the Fourth Proportional to 113,498.38, 156,621.73 and 65,097.81

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Solution

The fourth proportional to 113,498.38, 156,621.73 and 65,097.81 is: 89,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,498.38 : 156,621.73 = 65,097.81 : x
  2. Step 2: Convert to fraction form
    113,498.38/156,621.73 = 65,097.81/x
  3. Step 3: Cross multiply
    113,498.38x = 156,621.73 × 65,097.81
  4. Step 4: Simplify right side
    113,498.38x = 10,195,731,621.41
  5. Step 5: Solve for x
    x = 10,195,731,621.41/113,498.38
  6. Step 6: Final answer
    x = 89,831.52

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Why These Related Problems?

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