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Finding the Fourth Proportional to 217,334.64, 299,917.33 and 120,522.87

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Solution

The fourth proportional to 217,334.64, 299,917.33 and 120,522.87 is: 166,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,334.64 : 299,917.33 = 120,522.87 : x
  2. Step 2: Convert to fraction form
    217,334.64/299,917.33 = 120,522.87/x
  3. Step 3: Cross multiply
    217,334.64x = 299,917.33 × 120,522.87
  4. Step 4: Simplify right side
    217,334.64x = 36,146,897,374.34
  5. Step 5: Solve for x
    x = 36,146,897,374.34/217,334.64
  6. Step 6: Final answer
    x = 166,319.08

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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.