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Finding the Fourth Proportional to 232,993.20, 348,712.20 and 163,009.20

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Solution

The fourth proportional to 232,993.20, 348,712.20 and 163,009.20 is: 243,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,993.20 : 348,712.20 = 163,009.20 : x
  2. Step 2: Convert to fraction form
    232,993.20/348,712.20 = 163,009.20/x
  3. Step 3: Cross multiply
    232,993.20x = 348,712.20 × 163,009.20
  4. Step 4: Simplify right side
    232,993.20x = 56,843,296,752.24
  5. Step 5: Solve for x
    x = 56,843,296,752.24/232,993.20
  6. Step 6: Final answer
    x = 243,969.77

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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.