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Finding the Fourth Proportional to 259,712.40, 389,261.40 and 109,952.40

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Solution

The fourth proportional to 259,712.40, 389,261.40 and 109,952.40 is: 164,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,712.40 : 389,261.40 = 109,952.40 : x
  2. Step 2: Convert to fraction form
    259,712.40/389,261.40 = 109,952.40/x
  3. Step 3: Cross multiply
    259,712.40x = 389,261.40 × 109,952.40
  4. Step 4: Simplify right side
    259,712.40x = 42,800,225,157.36
  5. Step 5: Solve for x
    x = 42,800,225,157.36/259,712.40
  6. Step 6: Final answer
    x = 164,798.54

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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.