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Finding the Fourth Proportional to 257,143.62, 354,850.35 and 142,417.71

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Solution

The fourth proportional to 257,143.62, 354,850.35 and 142,417.71 is: 196,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,143.62 : 354,850.35 = 142,417.71 : x
  2. Step 2: Convert to fraction form
    257,143.62/354,850.35 = 142,417.71/x
  3. Step 3: Cross multiply
    257,143.62x = 354,850.35 × 142,417.71
  4. Step 4: Simplify right side
    257,143.62x = 50,536,974,239.70
  5. Step 5: Solve for x
    x = 50,536,974,239.70/257,143.62
  6. Step 6: Final answer
    x = 196,532.09

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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.