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Finding the Fourth Proportional to 222,098.86, 306,496.83 and 121,496.86

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Solution

The fourth proportional to 222,098.86, 306,496.83 and 121,496.86 is: 167,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,098.86 : 306,496.83 = 121,496.86 : x
  2. Step 2: Convert to fraction form
    222,098.86/306,496.83 = 121,496.86/x
  3. Step 3: Cross multiply
    222,098.86x = 306,496.83 × 121,496.86
  4. Step 4: Simplify right side
    222,098.86x = 37,238,402,444.95
  5. Step 5: Solve for x
    x = 37,238,402,444.95/222,098.86
  6. Step 6: Final answer
    x = 167,665.89

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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.