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Finding the Fourth Proportional to 109,646.30, 164,535.06 and 100,723.34

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Solution

The fourth proportional to 109,646.30, 164,535.06 and 100,723.34 is: 151,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,646.30 : 164,535.06 = 100,723.34 : x
  2. Step 2: Convert to fraction form
    109,646.30/164,535.06 = 100,723.34/x
  3. Step 3: Cross multiply
    109,646.30x = 164,535.06 × 100,723.34
  4. Step 4: Simplify right side
    109,646.30x = 16,572,521,201.64
  5. Step 5: Solve for x
    x = 16,572,521,201.64/109,646.30
  6. Step 6: Final answer
    x = 151,145.28

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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.