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Finding the Fourth Proportional to 222,080.40, 333,149.79 and 116,905.14

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Solution

The fourth proportional to 222,080.40, 333,149.79 and 116,905.14 is: 175,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,080.40 : 333,149.79 = 116,905.14 : x
  2. Step 2: Convert to fraction form
    222,080.40/333,149.79 = 116,905.14/x
  3. Step 3: Cross multiply
    222,080.40x = 333,149.79 × 116,905.14
  4. Step 4: Simplify right side
    222,080.40x = 38,946,922,840.92
  5. Step 5: Solve for x
    x = 38,946,922,840.92/222,080.40
  6. Step 6: Final answer
    x = 175,373.08

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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.