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Finding the Fourth Proportional to 159,133, 218,258.10 and 141,196.88

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Solution

The fourth proportional to 159,133, 218,258.10 and 141,196.88 is: 193,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,133 : 218,258.10 = 141,196.88 : x
  2. Step 2: Convert to fraction form
    159,133/218,258.10 = 141,196.88/x
  3. Step 3: Cross multiply
    159,133x = 218,258.10 × 141,196.88
  4. Step 4: Simplify right side
    159,133x = 30,817,362,754.73
  5. Step 5: Solve for x
    x = 30,817,362,754.73/159,133
  6. Step 6: Final answer
    x = 193,657.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.