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Finding the Fourth Proportional to 151,774.70, 209,463.30 and 113,467.91

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Solution

The fourth proportional to 151,774.70, 209,463.30 and 113,467.91 is: 156,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,774.70 : 209,463.30 = 113,467.91 : x
  2. Step 2: Convert to fraction form
    151,774.70/209,463.30 = 113,467.91/x
  3. Step 3: Cross multiply
    151,774.70x = 209,463.30 × 113,467.91
  4. Step 4: Simplify right side
    151,774.70x = 23,767,361,825.39
  5. Step 5: Solve for x
    x = 23,767,361,825.39/151,774.70
  6. Step 6: Final answer
    x = 156,596.34

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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.