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Finding the Fourth Proportional to 200,712.21, 276,823.41 and 170,597.22

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Solution

The fourth proportional to 200,712.21, 276,823.41 and 170,597.22 is: 235,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,712.21 : 276,823.41 = 170,597.22 : x
  2. Step 2: Convert to fraction form
    200,712.21/276,823.41 = 170,597.22/x
  3. Step 3: Cross multiply
    200,712.21x = 276,823.41 × 170,597.22
  4. Step 4: Simplify right side
    200,712.21x = 47,225,304,176.92
  5. Step 5: Solve for x
    x = 47,225,304,176.92/200,712.21
  6. Step 6: Final answer
    x = 235,288.65

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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.