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Finding the Fourth Proportional to 222,643.60, 333,965.40 and 133,851.40

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Solution

The fourth proportional to 222,643.60, 333,965.40 and 133,851.40 is: 200,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,643.60 : 333,965.40 = 133,851.40 : x
  2. Step 2: Convert to fraction form
    222,643.60/333,965.40 = 133,851.40/x
  3. Step 3: Cross multiply
    222,643.60x = 333,965.40 × 133,851.40
  4. Step 4: Simplify right side
    222,643.60x = 44,701,736,341.56
  5. Step 5: Solve for x
    x = 44,701,736,341.56/222,643.60
  6. Step 6: Final answer
    x = 200,777.10

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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.