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Finding the Fourth Proportional to 257,496, 355,266.24 and 162,097.92

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Solution

The fourth proportional to 257,496, 355,266.24 and 162,097.92 is: 223,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,496 : 355,266.24 = 162,097.92 : x
  2. Step 2: Convert to fraction form
    257,496/355,266.24 = 162,097.92/x
  3. Step 3: Cross multiply
    257,496x = 355,266.24 × 162,097.92
  4. Step 4: Simplify right side
    257,496x = 57,587,918,550.22
  5. Step 5: Solve for x
    x = 57,587,918,550.22/257,496
  6. Step 6: Final answer
    x = 223,645.88

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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.