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Finding the Fourth Proportional to 162,216, 223,795.44 and 101,761.92

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Solution

The fourth proportional to 162,216, 223,795.44 and 101,761.92 is: 140,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,216 : 223,795.44 = 101,761.92 : x
  2. Step 2: Convert to fraction form
    162,216/223,795.44 = 101,761.92/x
  3. Step 3: Cross multiply
    162,216x = 223,795.44 × 101,761.92
  4. Step 4: Simplify right side
    162,216x = 22,773,853,661.64
  5. Step 5: Solve for x
    x = 22,773,853,661.64/162,216
  6. Step 6: Final answer
    x = 140,392.15

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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.