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Finding the Fourth Proportional to 224,796.16, 310,224.96 and 124,200.64

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Solution

The fourth proportional to 224,796.16, 310,224.96 and 124,200.64 is: 171,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,796.16 : 310,224.96 = 124,200.64 : x
  2. Step 2: Convert to fraction form
    224,796.16/310,224.96 = 124,200.64/x
  3. Step 3: Cross multiply
    224,796.16x = 310,224.96 × 124,200.64
  4. Step 4: Simplify right side
    224,796.16x = 38,530,138,575.97
  5. Step 5: Solve for x
    x = 38,530,138,575.97/224,796.16
  6. Step 6: Final answer
    x = 171,400.34

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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.