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Finding the Fourth Proportional to 142,403.40, 196,503.39 and 78,739.83

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Solution

The fourth proportional to 142,403.40, 196,503.39 and 78,739.83 is: 108,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,403.40 : 196,503.39 = 78,739.83 : x
  2. Step 2: Convert to fraction form
    142,403.40/196,503.39 = 78,739.83/x
  3. Step 3: Cross multiply
    142,403.40x = 196,503.39 × 78,739.83
  4. Step 4: Simplify right side
    142,403.40x = 15,472,643,523.02
  5. Step 5: Solve for x
    x = 15,472,643,523.02/142,403.40
  6. Step 6: Final answer
    x = 108,653.61

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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.