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Finding the Fourth Proportional to 151,522.60, 209,092.74 and 83,539.48

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Solution

The fourth proportional to 151,522.60, 209,092.74 and 83,539.48 is: 115,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,522.60 : 209,092.74 = 83,539.48 : x
  2. Step 2: Convert to fraction form
    151,522.60/209,092.74 = 83,539.48/x
  3. Step 3: Cross multiply
    151,522.60x = 209,092.74 × 83,539.48
  4. Step 4: Simplify right side
    151,522.60x = 17,467,498,771.38
  5. Step 5: Solve for x
    x = 17,467,498,771.38/151,522.60
  6. Step 6: Final answer
    x = 115,279.82

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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.