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Finding the Fourth Proportional to 212,404.82, 293,116.34 and 116,909.46

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Solution

The fourth proportional to 212,404.82, 293,116.34 and 116,909.46 is: 161,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,404.82 : 293,116.34 = 116,909.46 : x
  2. Step 2: Convert to fraction form
    212,404.82/293,116.34 = 116,909.46/x
  3. Step 3: Cross multiply
    212,404.82x = 293,116.34 × 116,909.46
  4. Step 4: Simplify right side
    212,404.82x = 34,268,073,026.58
  5. Step 5: Solve for x
    x = 34,268,073,026.58/212,404.82
  6. Step 6: Final answer
    x = 161,333.78

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