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Finding the Fourth Proportional to 142,363, 196,443.88 and 78,692.14

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Solution

The fourth proportional to 142,363, 196,443.88 and 78,692.14 is: 108,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,363 : 196,443.88 = 78,692.14 : x
  2. Step 2: Convert to fraction form
    142,363/196,443.88 = 78,692.14/x
  3. Step 3: Cross multiply
    142,363x = 196,443.88 × 78,692.14
  4. Step 4: Simplify right side
    142,363x = 15,458,589,307.10
  5. Step 5: Solve for x
    x = 15,458,589,307.10/142,363
  6. Step 6: Final answer
    x = 108,585.72

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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.