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Finding the Fourth Proportional to 232,133.60, 348,200.40 and 113,880.80

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Solution

The fourth proportional to 232,133.60, 348,200.40 and 113,880.80 is: 170,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,133.60 : 348,200.40 = 113,880.80 : x
  2. Step 2: Convert to fraction form
    232,133.60/348,200.40 = 113,880.80/x
  3. Step 3: Cross multiply
    232,133.60x = 348,200.40 × 113,880.80
  4. Step 4: Simplify right side
    232,133.60x = 39,653,340,112.32
  5. Step 5: Solve for x
    x = 39,653,340,112.32/232,133.60
  6. Step 6: Final answer
    x = 170,821.20

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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.