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Finding the Fourth Proportional to 131,409.90, 197,114.85 and 105,165.90

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Solution

The fourth proportional to 131,409.90, 197,114.85 and 105,165.90 is: 157,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,409.90 : 197,114.85 = 105,165.90 : x
  2. Step 2: Convert to fraction form
    131,409.90/197,114.85 = 105,165.90/x
  3. Step 3: Cross multiply
    131,409.90x = 197,114.85 × 105,165.90
  4. Step 4: Simplify right side
    131,409.90x = 20,729,760,603.62
  5. Step 5: Solve for x
    x = 20,729,760,603.62/131,409.90
  6. Step 6: Final answer
    x = 157,748.85

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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.