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Finding the Fourth Proportional to 257,009.47, 354,834.06 and 165,166

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Solution

The fourth proportional to 257,009.47, 354,834.06 and 165,166 is: 228,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,009.47 : 354,834.06 = 165,166 : x
  2. Step 2: Convert to fraction form
    257,009.47/354,834.06 = 165,166/x
  3. Step 3: Cross multiply
    257,009.47x = 354,834.06 × 165,166
  4. Step 4: Simplify right side
    257,009.47x = 58,606,522,353.96
  5. Step 5: Solve for x
    x = 58,606,522,353.96/257,009.47
  6. Step 6: Final answer
    x = 228,032.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.