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Finding the Fourth Proportional to 614,098.92, 921,021.33 and 164,712.87

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Solution

The fourth proportional to 614,098.92, 921,021.33 and 164,712.87 is: 247,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,098.92 : 921,021.33 = 164,712.87 : x
  2. Step 2: Convert to fraction form
    614,098.92/921,021.33 = 164,712.87/x
  3. Step 3: Cross multiply
    614,098.92x = 921,021.33 × 164,712.87
  4. Step 4: Simplify right side
    614,098.92x = 151,704,064,622.82
  5. Step 5: Solve for x
    x = 151,704,064,622.82/614,098.92
  6. Step 6: Final answer
    x = 247,035.23

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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.