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Finding the Fourth Proportional to 232,489.80, 348,734.70 and 164,583.45

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Solution

The fourth proportional to 232,489.80, 348,734.70 and 164,583.45 is: 246,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,489.80 : 348,734.70 = 164,583.45 : x
  2. Step 2: Convert to fraction form
    232,489.80/348,734.70 = 164,583.45/x
  3. Step 3: Cross multiply
    232,489.80x = 348,734.70 × 164,583.45
  4. Step 4: Simplify right side
    232,489.80x = 57,395,960,060.72
  5. Step 5: Solve for x
    x = 57,395,960,060.72/232,489.80
  6. Step 6: Final answer
    x = 246,875.18

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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.