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Finding the Fourth Proportional to 257,854.68, 355,855.14 and 171,664.92

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Solution

The fourth proportional to 257,854.68, 355,855.14 and 171,664.92 is: 236,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.68 : 355,855.14 = 171,664.92 : x
  2. Step 2: Convert to fraction form
    257,854.68/355,855.14 = 171,664.92/x
  3. Step 3: Cross multiply
    257,854.68x = 355,855.14 × 171,664.92
  4. Step 4: Simplify right side
    257,854.68x = 61,087,844,139.69
  5. Step 5: Solve for x
    x = 61,087,844,139.69/257,854.68
  6. Step 6: Final answer
    x = 236,908.03

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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.