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Finding the Fourth Proportional to 200,352, 276,456.96 and 170,257.92

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Solution

The fourth proportional to 200,352, 276,456.96 and 170,257.92 is: 234,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,352 : 276,456.96 = 170,257.92 : x
  2. Step 2: Convert to fraction form
    200,352/276,456.96 = 170,257.92/x
  3. Step 3: Cross multiply
    200,352x = 276,456.96 × 170,257.92
  4. Step 4: Simplify right side
    200,352x = 47,068,986,979.12
  5. Step 5: Solve for x
    x = 47,068,986,979.12/200,352
  6. Step 6: Final answer
    x = 234,931.46

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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.