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Finding the Fourth Proportional to 232,494.80, 348,742.20 and 164,588.45

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Solution

The fourth proportional to 232,494.80, 348,742.20 and 164,588.45 is: 246,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,494.80 : 348,742.20 = 164,588.45 : x
  2. Step 2: Convert to fraction form
    232,494.80/348,742.20 = 164,588.45/x
  3. Step 3: Cross multiply
    232,494.80x = 348,742.20 × 164,588.45
  4. Step 4: Simplify right side
    232,494.80x = 57,398,938,147.59
  5. Step 5: Solve for x
    x = 57,398,938,147.59/232,494.80
  6. Step 6: Final answer
    x = 246,882.68

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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.