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Finding the Fourth Proportional to 256,167.69, 353,510.06 and 148,764.12

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Solution

The fourth proportional to 256,167.69, 353,510.06 and 148,764.12 is: 205,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,167.69 : 353,510.06 = 148,764.12 : x
  2. Step 2: Convert to fraction form
    256,167.69/353,510.06 = 148,764.12/x
  3. Step 3: Cross multiply
    256,167.69x = 353,510.06 × 148,764.12
  4. Step 4: Simplify right side
    256,167.69x = 52,589,612,243.23
  5. Step 5: Solve for x
    x = 52,589,612,243.23/256,167.69
  6. Step 6: Final answer
    x = 205,293.70

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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.