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Finding the Fourth Proportional to 164,644.84, 227,188.15 and 104,108.68

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Solution

The fourth proportional to 164,644.84, 227,188.15 and 104,108.68 is: 143,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,644.84 : 227,188.15 = 104,108.68 : x
  2. Step 2: Convert to fraction form
    164,644.84/227,188.15 = 104,108.68/x
  3. Step 3: Cross multiply
    164,644.84x = 227,188.15 × 104,108.68
  4. Step 4: Simplify right side
    164,644.84x = 23,652,258,408.14
  5. Step 5: Solve for x
    x = 23,652,258,408.14/164,644.84
  6. Step 6: Final answer
    x = 143,656.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.