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Finding the Fourth Proportional to 257,164.13, 354,890.16 and 148,266.31

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Solution

The fourth proportional to 257,164.13, 354,890.16 and 148,266.31 is: 204,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.13 : 354,890.16 = 148,266.31 : x
  2. Step 2: Convert to fraction form
    257,164.13/354,890.16 = 148,266.31/x
  3. Step 3: Cross multiply
    257,164.13x = 354,890.16 × 148,266.31
  4. Step 4: Simplify right side
    257,164.13x = 52,618,253,035.29
  5. Step 5: Solve for x
    x = 52,618,253,035.29/257,164.13
  6. Step 6: Final answer
    x = 204,609.62

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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.