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Finding the Fourth Proportional to 159,583.30, 238,914.15 and 97,375.30

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Solution

The fourth proportional to 159,583.30, 238,914.15 and 97,375.30 is: 145,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,583.30 : 238,914.15 = 97,375.30 : x
  2. Step 2: Convert to fraction form
    159,583.30/238,914.15 = 97,375.30/x
  3. Step 3: Cross multiply
    159,583.30x = 238,914.15 × 97,375.30
  4. Step 4: Simplify right side
    159,583.30x = 23,264,337,030.50
  5. Step 5: Solve for x
    x = 23,264,337,030.50/159,583.30
  6. Step 6: Final answer
    x = 145,781.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.