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Finding the Fourth Proportional to 235,098.72, 324,657.64 and 163,674.04

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Solution

The fourth proportional to 235,098.72, 324,657.64 and 163,674.04 is: 226,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,098.72 : 324,657.64 = 163,674.04 : x
  2. Step 2: Convert to fraction form
    235,098.72/324,657.64 = 163,674.04/x
  3. Step 3: Cross multiply
    235,098.72x = 324,657.64 × 163,674.04
  4. Step 4: Simplify right side
    235,098.72x = 53,138,027,555.67
  5. Step 5: Solve for x
    x = 53,138,027,555.67/235,098.72
  6. Step 6: Final answer
    x = 226,024.32

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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.