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Finding the Fourth Proportional to 233,143.80, 349,764.30 and 133,222.20

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Solution

The fourth proportional to 233,143.80, 349,764.30 and 133,222.20 is: 199,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,143.80 : 349,764.30 = 133,222.20 : x
  2. Step 2: Convert to fraction form
    233,143.80/349,764.30 = 133,222.20/x
  3. Step 3: Cross multiply
    233,143.80x = 349,764.30 × 133,222.20
  4. Step 4: Simplify right side
    233,143.80x = 46,596,369,527.46
  5. Step 5: Solve for x
    x = 46,596,369,527.46/233,143.80
  6. Step 6: Final answer
    x = 199,861.07

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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.