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Finding the Fourth Proportional to 222,164.10, 333,246.15 and 97,505.10

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Solution

The fourth proportional to 222,164.10, 333,246.15 and 97,505.10 is: 146,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,164.10 : 333,246.15 = 97,505.10 : x
  2. Step 2: Convert to fraction form
    222,164.10/333,246.15 = 97,505.10/x
  3. Step 3: Cross multiply
    222,164.10x = 333,246.15 × 97,505.10
  4. Step 4: Simplify right side
    222,164.10x = 32,493,199,180.37
  5. Step 5: Solve for x
    x = 32,493,199,180.37/222,164.10
  6. Step 6: Final answer
    x = 146,257.65

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1.5x scale

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.