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Finding the Fourth Proportional to 224,264, 336,396 and 153,930.08

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Solution

The fourth proportional to 224,264, 336,396 and 153,930.08 is: 230,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,264 : 336,396 = 153,930.08 : x
  2. Step 2: Convert to fraction form
    224,264/336,396 = 153,930.08/x
  3. Step 3: Cross multiply
    224,264x = 336,396 × 153,930.08
  4. Step 4: Simplify right side
    224,264x = 51,781,463,191.68
  5. Step 5: Solve for x
    x = 51,781,463,191.68/224,264
  6. Step 6: Final answer
    x = 230,895.12

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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.