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Finding the Fourth Proportional to 224,042.64, 308,971.14 and 163,517.40

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Solution

The fourth proportional to 224,042.64, 308,971.14 and 163,517.40 is: 225,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,042.64 : 308,971.14 = 163,517.40 : x
  2. Step 2: Convert to fraction form
    224,042.64/308,971.14 = 163,517.40/x
  3. Step 3: Cross multiply
    224,042.64x = 308,971.14 × 163,517.40
  4. Step 4: Simplify right side
    224,042.64x = 50,522,157,487.84
  5. Step 5: Solve for x
    x = 50,522,157,487.84/224,042.64
  6. Step 6: Final answer
    x = 225,502.42

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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.