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Finding the Fourth Proportional to 232,411.60, 348,847.80 and 114,216.40

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Solution

The fourth proportional to 232,411.60, 348,847.80 and 114,216.40 is: 171,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,411.60 : 348,847.80 = 114,216.40 : x
  2. Step 2: Convert to fraction form
    232,411.60/348,847.80 = 114,216.40/x
  3. Step 3: Cross multiply
    232,411.60x = 348,847.80 × 114,216.40
  4. Step 4: Simplify right side
    232,411.60x = 39,844,139,863.92
  5. Step 5: Solve for x
    x = 39,844,139,863.92/232,411.60
  6. Step 6: Final answer
    x = 171,437.83

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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.