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Finding the Fourth Proportional to 257,866.96, 355,856.88 and 144,689.44

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Solution

The fourth proportional to 257,866.96, 355,856.88 and 144,689.44 is: 199,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,866.96 : 355,856.88 = 144,689.44 : x
  2. Step 2: Convert to fraction form
    257,866.96/355,856.88 = 144,689.44/x
  3. Step 3: Cross multiply
    257,866.96x = 355,856.88 × 144,689.44
  4. Step 4: Simplify right side
    257,866.96x = 51,488,732,687.35
  5. Step 5: Solve for x
    x = 51,488,732,687.35/257,866.96
  6. Step 6: Final answer
    x = 199,671.69

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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.