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Finding the Fourth Proportional to 183,319.92, 274,823.10 and 83,444.46

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Solution

The fourth proportional to 183,319.92, 274,823.10 and 83,444.46 is: 125,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,319.92 : 274,823.10 = 83,444.46 : x
  2. Step 2: Convert to fraction form
    183,319.92/274,823.10 = 83,444.46/x
  3. Step 3: Cross multiply
    183,319.92x = 274,823.10 × 83,444.46
  4. Step 4: Simplify right side
    183,319.92x = 22,932,465,175.03
  5. Step 5: Solve for x
    x = 22,932,465,175.03/183,319.92
  6. Step 6: Final answer
    x = 125,095.33

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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.