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Finding the Fourth Proportional to 162,217, 223,796.82 and 101,762.92

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Solution

The fourth proportional to 162,217, 223,796.82 and 101,762.92 is: 140,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,217 : 223,796.82 = 101,762.92 : x
  2. Step 2: Convert to fraction form
    162,217/223,796.82 = 101,762.92/x
  3. Step 3: Cross multiply
    162,217x = 223,796.82 × 101,762.92
  4. Step 4: Simplify right side
    162,217x = 22,774,217,889.91
  5. Step 5: Solve for x
    x = 22,774,217,889.91/162,217
  6. Step 6: Final answer
    x = 140,393.53

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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.