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Finding the Fourth Proportional to 538,141.80, 807,212.70 and 164,116.20

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Solution

The fourth proportional to 538,141.80, 807,212.70 and 164,116.20 is: 246,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,141.80 : 807,212.70 = 164,116.20 : x
  2. Step 2: Convert to fraction form
    538,141.80/807,212.70 = 164,116.20/x
  3. Step 3: Cross multiply
    538,141.80x = 807,212.70 × 164,116.20
  4. Step 4: Simplify right side
    538,141.80x = 132,476,680,915.74
  5. Step 5: Solve for x
    x = 132,476,680,915.74/538,141.80
  6. Step 6: Final answer
    x = 246,174.30

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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.