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Finding the Fourth Proportional to 222,092, 306,486.96 and 121,492.16

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Solution

The fourth proportional to 222,092, 306,486.96 and 121,492.16 is: 167,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,092 : 306,486.96 = 121,492.16 : x
  2. Step 2: Convert to fraction form
    222,092/306,486.96 = 121,492.16/x
  3. Step 3: Cross multiply
    222,092x = 306,486.96 × 121,492.16
  4. Step 4: Simplify right side
    222,092x = 37,235,762,782.23
  5. Step 5: Solve for x
    x = 37,235,762,782.23/222,092
  6. Step 6: Final answer
    x = 167,659.18

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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.