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Finding the Fourth Proportional to 253,722.66, 350,136.51 and 146,291.76

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Solution

The fourth proportional to 253,722.66, 350,136.51 and 146,291.76 is: 201,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,722.66 : 350,136.51 = 146,291.76 : x
  2. Step 2: Convert to fraction form
    253,722.66/350,136.51 = 146,291.76/x
  3. Step 3: Cross multiply
    253,722.66x = 350,136.51 × 146,291.76
  4. Step 4: Simplify right side
    253,722.66x = 51,222,086,288.16
  5. Step 5: Solve for x
    x = 51,222,086,288.16/253,722.66
  6. Step 6: Final answer
    x = 201,882.19

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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.