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Finding the Fourth Proportional to 232,895.40, 349,112.70 and 114,469.80

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Solution

The fourth proportional to 232,895.40, 349,112.70 and 114,469.80 is: 171,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,895.40 : 349,112.70 = 114,469.80 : x
  2. Step 2: Convert to fraction form
    232,895.40/349,112.70 = 114,469.80/x
  3. Step 3: Cross multiply
    232,895.40x = 349,112.70 × 114,469.80
  4. Step 4: Simplify right side
    232,895.40x = 39,962,860,946.46
  5. Step 5: Solve for x
    x = 39,962,860,946.46/232,895.40
  6. Step 6: Final answer
    x = 171,591.46

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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.