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Finding the Fourth Proportional to 146,584, 202,302.12 and 82,921.24

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Solution

The fourth proportional to 146,584, 202,302.12 and 82,921.24 is: 114,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,584 : 202,302.12 = 82,921.24 : x
  2. Step 2: Convert to fraction form
    146,584/202,302.12 = 82,921.24/x
  3. Step 3: Cross multiply
    146,584x = 202,302.12 × 82,921.24
  4. Step 4: Simplify right side
    146,584x = 16,775,142,645.03
  5. Step 5: Solve for x
    x = 16,775,142,645.03/146,584
  6. Step 6: Final answer
    x = 114,440.48

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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.