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Finding the Fourth Proportional to 224,452.64, 336,711.12 and 74,643.68

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Solution

The fourth proportional to 224,452.64, 336,711.12 and 74,643.68 is: 111,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,452.64 : 336,711.12 = 74,643.68 : x
  2. Step 2: Convert to fraction form
    224,452.64/336,711.12 = 74,643.68/x
  3. Step 3: Cross multiply
    224,452.64x = 336,711.12 × 74,643.68
  4. Step 4: Simplify right side
    224,452.64x = 25,133,357,093.72
  5. Step 5: Solve for x
    x = 25,133,357,093.72/224,452.64
  6. Step 6: Final answer
    x = 111,976.22

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Why These Related Problems?

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