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Finding the Fourth Proportional to 224,086.40, 336,129.60 and 141,142.40

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Solution

The fourth proportional to 224,086.40, 336,129.60 and 141,142.40 is: 211,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,086.40 : 336,129.60 = 141,142.40 : x
  2. Step 2: Convert to fraction form
    224,086.40/336,129.60 = 141,142.40/x
  3. Step 3: Cross multiply
    224,086.40x = 336,129.60 × 141,142.40
  4. Step 4: Simplify right side
    224,086.40x = 47,442,138,455.04
  5. Step 5: Solve for x
    x = 47,442,138,455.04/224,086.40
  6. Step 6: Final answer
    x = 211,713.60

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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.