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Finding the Fourth Proportional to 168,856.32, 253,102.23 and 109,734.42

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Solution

The fourth proportional to 168,856.32, 253,102.23 and 109,734.42 is: 164,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,856.32 : 253,102.23 = 109,734.42 : x
  2. Step 2: Convert to fraction form
    168,856.32/253,102.23 = 109,734.42/x
  3. Step 3: Cross multiply
    168,856.32x = 253,102.23 × 109,734.42
  4. Step 4: Simplify right side
    168,856.32x = 27,774,026,409.76
  5. Step 5: Solve for x
    x = 27,774,026,409.76/168,856.32
  6. Step 6: Final answer
    x = 164,483.19

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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.