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Finding the Fourth Proportional to 222,568.16, 333,906.96 and 64,798

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Solution

The fourth proportional to 222,568.16, 333,906.96 and 64,798 is: 97,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,568.16 : 333,906.96 = 64,798 : x
  2. Step 2: Convert to fraction form
    222,568.16/333,906.96 = 64,798/x
  3. Step 3: Cross multiply
    222,568.16x = 333,906.96 × 64,798
  4. Step 4: Simplify right side
    222,568.16x = 21,636,503,194.08
  5. Step 5: Solve for x
    x = 21,636,503,194.08/222,568.16
  6. Step 6: Final answer
    x = 97,212.93

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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.