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Finding the Fourth Proportional to 224,129.31, 309,297.74 and 123,527.31

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Solution

The fourth proportional to 224,129.31, 309,297.74 and 123,527.31 is: 170,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,129.31 : 309,297.74 = 123,527.31 : x
  2. Step 2: Convert to fraction form
    224,129.31/309,297.74 = 123,527.31/x
  3. Step 3: Cross multiply
    224,129.31x = 309,297.74 × 123,527.31
  4. Step 4: Simplify right side
    224,129.31x = 38,206,717,193.64
  5. Step 5: Solve for x
    x = 38,206,717,193.64/224,129.31
  6. Step 6: Final answer
    x = 170,467.29

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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.