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Finding the Fourth Proportional to 232,773.60, 348,901.20 and 120,410.40

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Solution

The fourth proportional to 232,773.60, 348,901.20 and 120,410.40 is: 180,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,773.60 : 348,901.20 = 120,410.40 : x
  2. Step 2: Convert to fraction form
    232,773.60/348,901.20 = 120,410.40/x
  3. Step 3: Cross multiply
    232,773.60x = 348,901.20 × 120,410.40
  4. Step 4: Simplify right side
    232,773.60x = 42,011,333,052.48
  5. Step 5: Solve for x
    x = 42,011,333,052.48/232,773.60
  6. Step 6: Final answer
    x = 180,481.52

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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.