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Finding the Fourth Proportional to 222,998.48, 307,713.84 and 126,212.12

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Solution

The fourth proportional to 222,998.48, 307,713.84 and 126,212.12 is: 174,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,998.48 : 307,713.84 = 126,212.12 : x
  2. Step 2: Convert to fraction form
    222,998.48/307,713.84 = 126,212.12/x
  3. Step 3: Cross multiply
    222,998.48x = 307,713.84 × 126,212.12
  4. Step 4: Simplify right side
    222,998.48x = 38,837,216,099.74
  5. Step 5: Solve for x
    x = 38,837,216,099.74/222,998.48
  6. Step 6: Final answer
    x = 174,159.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.