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Finding the Fourth Proportional to 256,032.50, 353,172.42 and 165,441.69

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Solution

The fourth proportional to 256,032.50, 353,172.42 and 165,441.69 is: 228,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,032.50 : 353,172.42 = 165,441.69 : x
  2. Step 2: Convert to fraction form
    256,032.50/353,172.42 = 165,441.69/x
  3. Step 3: Cross multiply
    256,032.50x = 353,172.42 × 165,441.69
  4. Step 4: Simplify right side
    256,032.50x = 58,429,442,026.19
  5. Step 5: Solve for x
    x = 58,429,442,026.19/256,032.50
  6. Step 6: Final answer
    x = 228,211.04

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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.