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Finding the Fourth Proportional to 256,189.78, 353,541.54 and 143,012.53

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Solution

The fourth proportional to 256,189.78, 353,541.54 and 143,012.53 is: 197,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,189.78 : 353,541.54 = 143,012.53 : x
  2. Step 2: Convert to fraction form
    256,189.78/353,541.54 = 143,012.53/x
  3. Step 3: Cross multiply
    256,189.78x = 353,541.54 × 143,012.53
  4. Step 4: Simplify right side
    256,189.78x = 50,560,870,095.50
  5. Step 5: Solve for x
    x = 50,560,870,095.50/256,189.78
  6. Step 6: Final answer
    x = 197,357.09

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1.5x scale

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.