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Finding the Fourth Proportional to 224,653.86, 336,868.11 and 74,841.48

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Solution

The fourth proportional to 224,653.86, 336,868.11 and 74,841.48 is: 112,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,653.86 : 336,868.11 = 74,841.48 : x
  2. Step 2: Convert to fraction form
    224,653.86/336,868.11 = 74,841.48/x
  3. Step 3: Cross multiply
    224,653.86x = 336,868.11 × 74,841.48
  4. Step 4: Simplify right side
    224,653.86x = 25,211,707,917.20
  5. Step 5: Solve for x
    x = 25,211,707,917.20/224,653.86
  6. Step 6: Final answer
    x = 112,224.68

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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.