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Finding the Fourth Proportional to 162,065.40, 223,644.42 and 101,668.56

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Solution

The fourth proportional to 162,065.40, 223,644.42 and 101,668.56 is: 140,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,065.40 : 223,644.42 = 101,668.56 : x
  2. Step 2: Convert to fraction form
    162,065.40/223,644.42 = 101,668.56/x
  3. Step 3: Cross multiply
    162,065.40x = 223,644.42 × 101,668.56
  4. Step 4: Simplify right side
    162,065.40x = 22,737,606,133.44
  5. Step 5: Solve for x
    x = 22,737,606,133.44/162,065.40
  6. Step 6: Final answer
    x = 140,298.95

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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.