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Finding the Fourth Proportional to 257,863.68, 355,760.64 and 168,491.52

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Solution

The fourth proportional to 257,863.68, 355,760.64 and 168,491.52 is: 232,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,863.68 : 355,760.64 = 168,491.52 : x
  2. Step 2: Convert to fraction form
    257,863.68/355,760.64 = 168,491.52/x
  3. Step 3: Cross multiply
    257,863.68x = 355,760.64 × 168,491.52
  4. Step 4: Simplify right side
    257,863.68x = 59,942,650,989.77
  5. Step 5: Solve for x
    x = 59,942,650,989.77/257,863.68
  6. Step 6: Final answer
    x = 232,458.68

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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.