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Finding the Fourth Proportional to 257,010.88, 354,701.52 and 148,119.04

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Solution

The fourth proportional to 257,010.88, 354,701.52 and 148,119.04 is: 204,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,010.88 : 354,701.52 = 148,119.04 : x
  2. Step 2: Convert to fraction form
    257,010.88/354,701.52 = 148,119.04/x
  3. Step 3: Cross multiply
    257,010.88x = 354,701.52 × 148,119.04
  4. Step 4: Simplify right side
    257,010.88x = 52,538,048,628.94
  5. Step 5: Solve for x
    x = 52,538,048,628.94/257,010.88
  6. Step 6: Final answer
    x = 204,419.55

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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.