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Finding the Fourth Proportional to 233,522.70, 322,131.69 and 153,079.98

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Solution

The fourth proportional to 233,522.70, 322,131.69 and 153,079.98 is: 211,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,522.70 : 322,131.69 = 153,079.98 : x
  2. Step 2: Convert to fraction form
    233,522.70/322,131.69 = 153,079.98/x
  3. Step 3: Cross multiply
    233,522.70x = 322,131.69 × 153,079.98
  4. Step 4: Simplify right side
    233,522.70x = 49,311,912,662.57
  5. Step 5: Solve for x
    x = 49,311,912,662.57/233,522.70
  6. Step 6: Final answer
    x = 211,165.39

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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.