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Finding the Fourth Proportional to 222,097.10, 333,145.65 and 201,101.90

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Solution

The fourth proportional to 222,097.10, 333,145.65 and 201,101.90 is: 301,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,097.10 : 333,145.65 = 201,101.90 : x
  2. Step 2: Convert to fraction form
    222,097.10/333,145.65 = 201,101.90/x
  3. Step 3: Cross multiply
    222,097.10x = 333,145.65 × 201,101.90
  4. Step 4: Simplify right side
    222,097.10x = 66,996,223,191.74
  5. Step 5: Solve for x
    x = 66,996,223,191.74/222,097.10
  6. Step 6: Final answer
    x = 301,652.85

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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.