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Finding the Fourth Proportional to 256,172.69, 353,516.95 and 148,769.12

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Solution

The fourth proportional to 256,172.69, 353,516.95 and 148,769.12 is: 205,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,172.69 : 353,516.95 = 148,769.12 : x
  2. Step 2: Convert to fraction form
    256,172.69/353,516.95 = 148,769.12/x
  3. Step 3: Cross multiply
    256,172.69x = 353,516.95 × 148,769.12
  4. Step 4: Simplify right side
    256,172.69x = 52,592,405,556.58
  5. Step 5: Solve for x
    x = 52,592,405,556.58/256,172.69
  6. Step 6: Final answer
    x = 205,300.59

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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.