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Finding the Fourth Proportional to 224,836.60, 310,339.14 and 148,411.48

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Solution

The fourth proportional to 224,836.60, 310,339.14 and 148,411.48 is: 204,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,836.60 : 310,339.14 = 148,411.48 : x
  2. Step 2: Convert to fraction form
    224,836.60/310,339.14 = 148,411.48/x
  3. Step 3: Cross multiply
    224,836.60x = 310,339.14 × 148,411.48
  4. Step 4: Simplify right side
    224,836.60x = 46,057,891,069.33
  5. Step 5: Solve for x
    x = 46,057,891,069.33/224,836.60
  6. Step 6: Final answer
    x = 204,850.51

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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.