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Finding the Fourth Proportional to 183,233.92, 274,974 and 64,904.80

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Solution

The fourth proportional to 183,233.92, 274,974 and 64,904.80 is: 97,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,233.92 : 274,974 = 64,904.80 : x
  2. Step 2: Convert to fraction form
    183,233.92/274,974 = 64,904.80/x
  3. Step 3: Cross multiply
    183,233.92x = 274,974 × 64,904.80
  4. Step 4: Simplify right side
    183,233.92x = 17,847,132,475.20
  5. Step 5: Solve for x
    x = 17,847,132,475.20/183,233.92
  6. Step 6: Final answer
    x = 97,400.81

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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.