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Finding the Fourth Proportional to 222,363, 333,268.02 and 97,578.36

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Solution

The fourth proportional to 222,363, 333,268.02 and 97,578.36 is: 146,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,363 : 333,268.02 = 97,578.36 : x
  2. Step 2: Convert to fraction form
    222,363/333,268.02 = 97,578.36/x
  3. Step 3: Cross multiply
    222,363x = 333,268.02 × 97,578.36
  4. Step 4: Simplify right side
    222,363x = 32,519,746,832.05
  5. Step 5: Solve for x
    x = 32,519,746,832.05/222,363
  6. Step 6: Final answer
    x = 146,246.21

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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.