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Finding the Fourth Proportional to 163,960, 226,225.92 and 92,325.76

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Solution

The fourth proportional to 163,960, 226,225.92 and 92,325.76 is: 127,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,960 : 226,225.92 = 92,325.76 : x
  2. Step 2: Convert to fraction form
    163,960/226,225.92 = 92,325.76/x
  3. Step 3: Cross multiply
    163,960x = 226,225.92 × 92,325.76
  4. Step 4: Simplify right side
    163,960x = 20,886,479,995.70
  5. Step 5: Solve for x
    x = 20,886,479,995.70/163,960
  6. Step 6: Final answer
    x = 127,387.66

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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.