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Finding the Fourth Proportional to 232,240, 320,120.84 and 174,792.98

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Solution

The fourth proportional to 232,240, 320,120.84 and 174,792.98 is: 240,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,240 : 320,120.84 = 174,792.98 : x
  2. Step 2: Convert to fraction form
    232,240/320,120.84 = 174,792.98/x
  3. Step 3: Cross multiply
    232,240x = 320,120.84 × 174,792.98
  4. Step 4: Simplify right side
    232,240x = 55,954,875,583.70
  5. Step 5: Solve for x
    x = 55,954,875,583.70/232,240
  6. Step 6: Final answer
    x = 240,935.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.