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Finding the Fourth Proportional to 253,648.41, 350,034.12 and 146,217.84

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Solution

The fourth proportional to 253,648.41, 350,034.12 and 146,217.84 is: 201,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,648.41 : 350,034.12 = 146,217.84 : x
  2. Step 2: Convert to fraction form
    253,648.41/350,034.12 = 146,217.84/x
  3. Step 3: Cross multiply
    253,648.41x = 350,034.12 × 146,217.84
  4. Step 4: Simplify right side
    253,648.41x = 51,181,232,952.70
  5. Step 5: Solve for x
    x = 51,181,232,952.70/253,648.41
  6. Step 6: Final answer
    x = 201,780.22

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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.