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Finding the Fourth Proportional to 224,193.28, 309,388.80 and 123,594.88

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Solution

The fourth proportional to 224,193.28, 309,388.80 and 123,594.88 is: 170,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,193.28 : 309,388.80 = 123,594.88 : x
  2. Step 2: Convert to fraction form
    224,193.28/309,388.80 = 123,594.88/x
  3. Step 3: Cross multiply
    224,193.28x = 309,388.80 × 123,594.88
  4. Step 4: Simplify right side
    224,193.28x = 38,238,871,609.34
  5. Step 5: Solve for x
    x = 38,238,871,609.34/224,193.28
  6. Step 6: Final answer
    x = 170,562.08

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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.