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Finding the Fourth Proportional to 224,477, 309,778.66 and 123,875

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Solution

The fourth proportional to 224,477, 309,778.66 and 123,875 is: 170,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,477 : 309,778.66 = 123,875 : x
  2. Step 2: Convert to fraction form
    224,477/309,778.66 = 123,875/x
  3. Step 3: Cross multiply
    224,477x = 309,778.66 × 123,875
  4. Step 4: Simplify right side
    224,477x = 38,373,831,507.50
  5. Step 5: Solve for x
    x = 38,373,831,507.50/224,477
  6. Step 6: Final answer
    x = 170,947.72

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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.