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Finding the Fourth Proportional to 150,304.58, 206,948.22 and 127,596.50

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Solution

The fourth proportional to 150,304.58, 206,948.22 and 127,596.50 is: 175,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,304.58 : 206,948.22 = 127,596.50 : x
  2. Step 2: Convert to fraction form
    150,304.58/206,948.22 = 127,596.50/x
  3. Step 3: Cross multiply
    150,304.58x = 206,948.22 × 127,596.50
  4. Step 4: Simplify right side
    150,304.58x = 26,405,868,553.23
  5. Step 5: Solve for x
    x = 26,405,868,553.23/150,304.58
  6. Step 6: Final answer
    x = 175,682.39

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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.