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Finding the Fourth Proportional to 232,993.81, 348,965.65 and 163,184.77

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Solution

The fourth proportional to 232,993.81, 348,965.65 and 163,184.77 is: 244,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,993.81 : 348,965.65 = 163,184.77 : x
  2. Step 2: Convert to fraction form
    232,993.81/348,965.65 = 163,184.77/x
  3. Step 3: Cross multiply
    232,993.81x = 348,965.65 × 163,184.77
  4. Step 4: Simplify right side
    232,993.81x = 56,945,879,333.15
  5. Step 5: Solve for x
    x = 56,945,879,333.15/232,993.81
  6. Step 6: Final answer
    x = 244,409.41

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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.