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Finding the Fourth Proportional to 142,086.40, 196,078.86 and 78,423.76

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Solution

The fourth proportional to 142,086.40, 196,078.86 and 78,423.76 is: 108,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086.40 : 196,078.86 = 78,423.76 : x
  2. Step 2: Convert to fraction form
    142,086.40/196,078.86 = 78,423.76/x
  3. Step 3: Cross multiply
    142,086.40x = 196,078.86 × 78,423.76
  4. Step 4: Simplify right side
    142,086.40x = 15,377,241,457.71
  5. Step 5: Solve for x
    x = 15,377,241,457.71/142,086.40
  6. Step 6: Final answer
    x = 108,224.58

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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.