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Finding the Fourth Proportional to 189,466.20, 284,429.70 and 142,349.40

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Solution

The fourth proportional to 189,466.20, 284,429.70 and 142,349.40 is: 213,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.20 : 284,429.70 = 142,349.40 : x
  2. Step 2: Convert to fraction form
    189,466.20/284,429.70 = 142,349.40/x
  3. Step 3: Cross multiply
    189,466.20x = 284,429.70 × 142,349.40
  4. Step 4: Simplify right side
    189,466.20x = 40,488,397,137.18
  5. Step 5: Solve for x
    x = 40,488,397,137.18/189,466.20
  6. Step 6: Final answer
    x = 213,697.20

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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.