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Finding the Fourth Proportional to 224,564.83, 309,951.56 and 148,097.72

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Solution

The fourth proportional to 224,564.83, 309,951.56 and 148,097.72 is: 204,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,564.83 : 309,951.56 = 148,097.72 : x
  2. Step 2: Convert to fraction form
    224,564.83/309,951.56 = 148,097.72/x
  3. Step 3: Cross multiply
    224,564.83x = 309,951.56 × 148,097.72
  4. Step 4: Simplify right side
    224,564.83x = 45,903,120,491.57
  5. Step 5: Solve for x
    x = 45,903,120,491.57/224,564.83
  6. Step 6: Final answer
    x = 204,409.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.