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Finding the Fourth Proportional to 614,101.92, 921,025.83 and 164,715.87

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Solution

The fourth proportional to 614,101.92, 921,025.83 and 164,715.87 is: 247,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,101.92 : 921,025.83 = 164,715.87 : x
  2. Step 2: Convert to fraction form
    614,101.92/921,025.83 = 164,715.87/x
  3. Step 3: Cross multiply
    614,101.92x = 921,025.83 × 164,715.87
  4. Step 4: Simplify right side
    614,101.92x = 151,707,570,880.92
  5. Step 5: Solve for x
    x = 151,707,570,880.92/614,101.92
  6. Step 6: Final answer
    x = 247,039.73

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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.