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Finding the Fourth Proportional to 232,138.40, 348,272.40 and 113,813.60

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Solution

The fourth proportional to 232,138.40, 348,272.40 and 113,813.60 is: 170,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,138.40 : 348,272.40 = 113,813.60 : x
  2. Step 2: Convert to fraction form
    232,138.40/348,272.40 = 113,813.60/x
  3. Step 3: Cross multiply
    232,138.40x = 348,272.40 × 113,813.60
  4. Step 4: Simplify right side
    232,138.40x = 39,638,135,624.64
  5. Step 5: Solve for x
    x = 39,638,135,624.64/232,138.40
  6. Step 6: Final answer
    x = 170,752.17

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Why These Related Problems?

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