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Finding the Fourth Proportional to 257,227.55, 354,974.30 and 144,050.30

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Solution

The fourth proportional to 257,227.55, 354,974.30 and 144,050.30 is: 198,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,227.55 : 354,974.30 = 144,050.30 : x
  2. Step 2: Convert to fraction form
    257,227.55/354,974.30 = 144,050.30/x
  3. Step 3: Cross multiply
    257,227.55x = 354,974.30 × 144,050.30
  4. Step 4: Simplify right side
    257,227.55x = 51,134,153,783.51
  5. Step 5: Solve for x
    x = 51,134,153,783.51/257,227.55
  6. Step 6: Final answer
    x = 198,789.57

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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.