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Finding the Fourth Proportional to 242,142.88, 334,161.84 and 141,599.20

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Solution

The fourth proportional to 242,142.88, 334,161.84 and 141,599.20 is: 195,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,142.88 : 334,161.84 = 141,599.20 : x
  2. Step 2: Convert to fraction form
    242,142.88/334,161.84 = 141,599.20/x
  3. Step 3: Cross multiply
    242,142.88x = 334,161.84 × 141,599.20
  4. Step 4: Simplify right side
    242,142.88x = 47,317,049,214.53
  5. Step 5: Solve for x
    x = 47,317,049,214.53/242,142.88
  6. Step 6: Final answer
    x = 195,409.62

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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.