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Finding the Fourth Proportional to 343,801.71, 515,808.14 and 164,116.43

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Solution

The fourth proportional to 343,801.71, 515,808.14 and 164,116.43 is: 246,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,801.71 : 515,808.14 = 164,116.43 : x
  2. Step 2: Convert to fraction form
    343,801.71/515,808.14 = 164,116.43/x
  3. Step 3: Cross multiply
    343,801.71x = 515,808.14 × 164,116.43
  4. Step 4: Simplify right side
    343,801.71x = 84,652,587,102.12
  5. Step 5: Solve for x
    x = 84,652,587,102.12/343,801.71
  6. Step 6: Final answer
    x = 246,225.03

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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.