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Finding the Fourth Proportional to 214,258.98, 295,680.39 and 117,471.96

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Solution

The fourth proportional to 214,258.98, 295,680.39 and 117,471.96 is: 162,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,258.98 : 295,680.39 = 117,471.96 : x
  2. Step 2: Convert to fraction form
    214,258.98/295,680.39 = 117,471.96/x
  3. Step 3: Cross multiply
    214,258.98x = 295,680.39 × 117,471.96
  4. Step 4: Simplify right side
    214,258.98x = 34,734,154,946.86
  5. Step 5: Solve for x
    x = 34,734,154,946.86/214,258.98
  6. Step 6: Final answer
    x = 162,112.95

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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.