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Finding the Fourth Proportional to 150,302.58, 206,945.46 and 127,594.50

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Solution

The fourth proportional to 150,302.58, 206,945.46 and 127,594.50 is: 175,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,302.58 : 206,945.46 = 127,594.50 : x
  2. Step 2: Convert to fraction form
    150,302.58/206,945.46 = 127,594.50/x
  3. Step 3: Cross multiply
    150,302.58x = 206,945.46 × 127,594.50
  4. Step 4: Simplify right side
    150,302.58x = 26,405,102,495.97
  5. Step 5: Solve for x
    x = 26,405,102,495.97/150,302.58
  6. Step 6: Final answer
    x = 175,679.64

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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.