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Finding the Fourth Proportional to 224,786, 310,207.56 and 124,193.36

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Solution

The fourth proportional to 224,786, 310,207.56 and 124,193.36 is: 171,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,786 : 310,207.56 = 124,193.36 : x
  2. Step 2: Convert to fraction form
    224,786/310,207.56 = 124,193.36/x
  3. Step 3: Cross multiply
    224,786x = 310,207.56 × 124,193.36
  4. Step 4: Simplify right side
    224,786x = 38,525,719,173.80
  5. Step 5: Solve for x
    x = 38,525,719,173.80/224,786
  6. Step 6: Final answer
    x = 171,388.43

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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.