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Finding the Fourth Proportional to 242,311.68, 334,368 and 141,692.16

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Solution

The fourth proportional to 242,311.68, 334,368 and 141,692.16 is: 195,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,311.68 : 334,368 = 141,692.16 : x
  2. Step 2: Convert to fraction form
    242,311.68/334,368 = 141,692.16/x
  3. Step 3: Cross multiply
    242,311.68x = 334,368 × 141,692.16
  4. Step 4: Simplify right side
    242,311.68x = 47,377,324,154.88
  5. Step 5: Solve for x
    x = 47,377,324,154.88/242,311.68
  6. Step 6: Final answer
    x = 195,522.25

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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.