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Finding the Fourth Proportional to 257,321.07, 355,103.18 and 156,719.07

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Solution

The fourth proportional to 257,321.07, 355,103.18 and 156,719.07 is: 216,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,321.07 : 355,103.18 = 156,719.07 : x
  2. Step 2: Convert to fraction form
    257,321.07/355,103.18 = 156,719.07/x
  3. Step 3: Cross multiply
    257,321.07x = 355,103.18 × 156,719.07
  4. Step 4: Simplify right side
    257,321.07x = 55,651,440,123.64
  5. Step 5: Solve for x
    x = 55,651,440,123.64/257,321.07
  6. Step 6: Final answer
    x = 216,272.38

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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.