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Finding the Fourth Proportional to 142,339.50, 196,428.75 and 78,677.30

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Solution

The fourth proportional to 142,339.50, 196,428.75 and 78,677.30 is: 108,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,339.50 : 196,428.75 = 78,677.30 : x
  2. Step 2: Convert to fraction form
    142,339.50/196,428.75 = 78,677.30/x
  3. Step 3: Cross multiply
    142,339.50x = 196,428.75 × 78,677.30
  4. Step 4: Simplify right side
    142,339.50x = 15,454,482,783.50
  5. Step 5: Solve for x
    x = 15,454,482,783.50/142,339.50
  6. Step 6: Final answer
    x = 108,574.80

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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.