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Finding the Fourth Proportional to 232,415.24, 348,770.32 and 99,296.50

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Solution

The fourth proportional to 232,415.24, 348,770.32 and 99,296.50 is: 149,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,415.24 : 348,770.32 = 99,296.50 : x
  2. Step 2: Convert to fraction form
    232,415.24/348,770.32 = 99,296.50/x
  3. Step 3: Cross multiply
    232,415.24x = 348,770.32 × 99,296.50
  4. Step 4: Simplify right side
    232,415.24x = 34,631,672,079.88
  5. Step 5: Solve for x
    x = 34,631,672,079.88/232,415.24
  6. Step 6: Final answer
    x = 149,007.75

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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.