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Finding the Fourth Proportional to 224,612.47, 309,965.87 and 122,638.81

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Solution

The fourth proportional to 224,612.47, 309,965.87 and 122,638.81 is: 169,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,612.47 : 309,965.87 = 122,638.81 : x
  2. Step 2: Convert to fraction form
    224,612.47/309,965.87 = 122,638.81/x
  3. Step 3: Cross multiply
    224,612.47x = 309,965.87 × 122,638.81
  4. Step 4: Simplify right side
    224,612.47x = 38,013,844,824.22
  5. Step 5: Solve for x
    x = 38,013,844,824.22/224,612.47
  6. Step 6: Final answer
    x = 169,241.92

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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.