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Finding the Fourth Proportional to 142,494.69, 196,631.83 and 78,831.12

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Solution

The fourth proportional to 142,494.69, 196,631.83 and 78,831.12 is: 108,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,494.69 : 196,631.83 = 78,831.12 : x
  2. Step 2: Convert to fraction form
    142,494.69/196,631.83 = 78,831.12/x
  3. Step 3: Cross multiply
    142,494.69x = 196,631.83 × 78,831.12
  4. Step 4: Simplify right side
    142,494.69x = 15,500,707,386.55
  5. Step 5: Solve for x
    x = 15,500,707,386.55/142,494.69
  6. Step 6: Final answer
    x = 108,780.95

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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.