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Finding the Fourth Proportional to 224,208, 309,407.04 and 123,612.48

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Solution

The fourth proportional to 224,208, 309,407.04 and 123,612.48 is: 170,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,208 : 309,407.04 = 123,612.48 : x
  2. Step 2: Convert to fraction form
    224,208/309,407.04 = 123,612.48/x
  3. Step 3: Cross multiply
    224,208x = 309,407.04 × 123,612.48
  4. Step 4: Simplify right side
    224,208x = 38,246,571,543.86
  5. Step 5: Solve for x
    x = 38,246,571,543.86/224,208
  6. Step 6: Final answer
    x = 170,585.22

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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.