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Finding the Fourth Proportional to 109,808.10, 164,712.15 and 83,564.10

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Solution

The fourth proportional to 109,808.10, 164,712.15 and 83,564.10 is: 125,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,808.10 : 164,712.15 = 83,564.10 : x
  2. Step 2: Convert to fraction form
    109,808.10/164,712.15 = 83,564.10/x
  3. Step 3: Cross multiply
    109,808.10x = 164,712.15 × 83,564.10
  4. Step 4: Simplify right side
    109,808.10x = 13,764,022,573.82
  5. Step 5: Solve for x
    x = 13,764,022,573.82/109,808.10
  6. Step 6: Final answer
    x = 125,346.15

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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.