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Finding the Fourth Proportional to 232,887.40, 349,100.70 and 114,461.80

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Solution

The fourth proportional to 232,887.40, 349,100.70 and 114,461.80 is: 171,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,887.40 : 349,100.70 = 114,461.80 : x
  2. Step 2: Convert to fraction form
    232,887.40/349,100.70 = 114,461.80/x
  3. Step 3: Cross multiply
    232,887.40x = 349,100.70 × 114,461.80
  4. Step 4: Simplify right side
    232,887.40x = 39,958,694,503.26
  5. Step 5: Solve for x
    x = 39,958,694,503.26/232,887.40
  6. Step 6: Final answer
    x = 171,579.46

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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.