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Finding the Fourth Proportional to 162,346.21, 223,892.71 and 101,922.48

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Solution

The fourth proportional to 162,346.21, 223,892.71 and 101,922.48 is: 140,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,346.21 : 223,892.71 = 101,922.48 : x
  2. Step 2: Convert to fraction form
    162,346.21/223,892.71 = 101,922.48/x
  3. Step 3: Cross multiply
    162,346.21x = 223,892.71 × 101,922.48
  4. Step 4: Simplify right side
    162,346.21x = 22,819,700,002.31
  5. Step 5: Solve for x
    x = 22,819,700,002.31/162,346.21
  6. Step 6: Final answer
    x = 140,561.95

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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.