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Finding the Fourth Proportional to 163,904.46, 226,169.46 and 92,282.64

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Solution

The fourth proportional to 163,904.46, 226,169.46 and 92,282.64 is: 127,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,904.46 : 226,169.46 = 92,282.64 : x
  2. Step 2: Convert to fraction form
    163,904.46/226,169.46 = 92,282.64/x
  3. Step 3: Cross multiply
    163,904.46x = 226,169.46 × 92,282.64
  4. Step 4: Simplify right side
    163,904.46x = 20,871,514,856.17
  5. Step 5: Solve for x
    x = 20,871,514,856.17/163,904.46
  6. Step 6: Final answer
    x = 127,339.52

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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.