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Finding the Fourth Proportional to 142,294.10, 213,441.15 and 133,078.10

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Solution

The fourth proportional to 142,294.10, 213,441.15 and 133,078.10 is: 199,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,294.10 : 213,441.15 = 133,078.10 : x
  2. Step 2: Convert to fraction form
    142,294.10/213,441.15 = 133,078.10/x
  3. Step 3: Cross multiply
    142,294.10x = 213,441.15 × 133,078.10
  4. Step 4: Simplify right side
    142,294.10x = 28,404,342,703.82
  5. Step 5: Solve for x
    x = 28,404,342,703.82/142,294.10
  6. Step 6: Final answer
    x = 199,617.15

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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.