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Finding the Fourth Proportional to 257,122.52, 354,832.80 and 148,166.96

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Solution

The fourth proportional to 257,122.52, 354,832.80 and 148,166.96 is: 204,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,122.52 : 354,832.80 = 148,166.96 : x
  2. Step 2: Convert to fraction form
    257,122.52/354,832.80 = 148,166.96/x
  3. Step 3: Cross multiply
    257,122.52x = 354,832.80 × 148,166.96
  4. Step 4: Simplify right side
    257,122.52x = 52,574,497,284.29
  5. Step 5: Solve for x
    x = 52,574,497,284.29/257,122.52
  6. Step 6: Final answer
    x = 204,472.55

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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.