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Finding the Fourth Proportional to 222,692, 333,200.98 and 156,261.76

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Solution

The fourth proportional to 222,692, 333,200.98 and 156,261.76 is: 233,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,692 : 333,200.98 = 156,261.76 : x
  2. Step 2: Convert to fraction form
    222,692/333,200.98 = 156,261.76/x
  3. Step 3: Cross multiply
    222,692x = 333,200.98 × 156,261.76
  4. Step 4: Simplify right side
    222,692x = 52,066,571,568.52
  5. Step 5: Solve for x
    x = 52,066,571,568.52/222,692
  6. Step 6: Final answer
    x = 233,805.31

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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.