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Finding the Fourth Proportional to 222,634.74, 333,952.10 and 97,975.74

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Solution

The fourth proportional to 222,634.74, 333,952.10 and 97,975.74 is: 146,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,634.74 : 333,952.10 = 97,975.74 : x
  2. Step 2: Convert to fraction form
    222,634.74/333,952.10 = 97,975.74/x
  3. Step 3: Cross multiply
    222,634.74x = 333,952.10 × 97,975.74
  4. Step 4: Simplify right side
    222,634.74x = 32,719,205,251.90
  5. Step 5: Solve for x
    x = 32,719,205,251.90/222,634.74
  6. Step 6: Final answer
    x = 146,963.61

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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.