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Finding the Fourth Proportional to 142,007.60, 212,974.88 and 42,144.16

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Solution

The fourth proportional to 142,007.60, 212,974.88 and 42,144.16 is: 63,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,007.60 : 212,974.88 = 42,144.16 : x
  2. Step 2: Convert to fraction form
    142,007.60/212,974.88 = 42,144.16/x
  3. Step 3: Cross multiply
    142,007.60x = 212,974.88 × 42,144.16
  4. Step 4: Simplify right side
    142,007.60x = 8,975,647,418.70
  5. Step 5: Solve for x
    x = 8,975,647,418.70/142,007.60
  6. Step 6: Final answer
    x = 63,205.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.