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Finding the Fourth Proportional to 256,166.39, 353,684.00 and 165,741.23

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Solution

The fourth proportional to 256,166.39, 353,684.00 and 165,741.23 is: 228,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166.39 : 353,684.00 = 165,741.23 : x
  2. Step 2: Convert to fraction form
    256,166.39/353,684.00 = 165,741.23/x
  3. Step 3: Cross multiply
    256,166.39x = 353,684.00 × 165,741.23
  4. Step 4: Simplify right side
    256,166.39x = 58,620,020,362.61
  5. Step 5: Solve for x
    x = 58,620,020,362.61/256,166.39
  6. Step 6: Final answer
    x = 228,835.72

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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.