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Finding the Fourth Proportional to 224,172.78, 309,360.51 and 123,574.38

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Solution

The fourth proportional to 224,172.78, 309,360.51 and 123,574.38 is: 170,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,172.78 : 309,360.51 = 123,574.38 : x
  2. Step 2: Convert to fraction form
    224,172.78/309,360.51 = 123,574.38/x
  3. Step 3: Cross multiply
    224,172.78x = 309,360.51 × 123,574.38
  4. Step 4: Simplify right side
    224,172.78x = 38,229,033,219.73
  5. Step 5: Solve for x
    x = 38,229,033,219.73/224,172.78
  6. Step 6: Final answer
    x = 170,533.79

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1.5x scale

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.