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Finding the Fourth Proportional to 183,092.22, 274,416.56 and 77,689.76

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Solution

The fourth proportional to 183,092.22, 274,416.56 and 77,689.76 is: 116,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,092.22 : 274,416.56 = 77,689.76 : x
  2. Step 2: Convert to fraction form
    183,092.22/274,416.56 = 77,689.76/x
  3. Step 3: Cross multiply
    183,092.22x = 274,416.56 × 77,689.76
  4. Step 4: Simplify right side
    183,092.22x = 21,319,355,989.03
  5. Step 5: Solve for x
    x = 21,319,355,989.03/183,092.22
  6. Step 6: Final answer
    x = 116,440.53

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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.