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Finding the Fourth Proportional to 109,282.98, 163,827.22 and 42,707.97

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Solution

The fourth proportional to 109,282.98, 163,827.22 and 42,707.97 is: 64,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282.98 : 163,827.22 = 42,707.97 : x
  2. Step 2: Convert to fraction form
    109,282.98/163,827.22 = 42,707.97/x
  3. Step 3: Cross multiply
    109,282.98x = 163,827.22 × 42,707.97
  4. Step 4: Simplify right side
    109,282.98x = 6,996,726,964.27
  5. Step 5: Solve for x
    x = 6,996,726,964.27/109,282.98
  6. Step 6: Final answer
    x = 64,023.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.