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Finding the Fourth Proportional to 222,497.36, 333,789.60 and 97,838

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Solution

The fourth proportional to 222,497.36, 333,789.60 and 97,838 is: 146,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,497.36 : 333,789.60 = 97,838 : x
  2. Step 2: Convert to fraction form
    222,497.36/333,789.60 = 97,838/x
  3. Step 3: Cross multiply
    222,497.36x = 333,789.60 × 97,838
  4. Step 4: Simplify right side
    222,497.36x = 32,657,306,884.80
  5. Step 5: Solve for x
    x = 32,657,306,884.80/222,497.36
  6. Step 6: Final answer
    x = 146,776.15

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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.