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Finding the Fourth Proportional to 233,143.80, 349,715.70 and 227,959.80

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Solution

The fourth proportional to 233,143.80, 349,715.70 and 227,959.80 is: 341,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,143.80 : 349,715.70 = 227,959.80 : x
  2. Step 2: Convert to fraction form
    233,143.80/349,715.70 = 227,959.80/x
  3. Step 3: Cross multiply
    233,143.80x = 349,715.70 × 227,959.80
  4. Step 4: Simplify right side
    233,143.80x = 79,721,121,028.86
  5. Step 5: Solve for x
    x = 79,721,121,028.86/233,143.80
  6. Step 6: Final answer
    x = 341,939.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.