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Finding the Fourth Proportional to 164,093.28, 246,139.86 and 39,434.28

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Solution

The fourth proportional to 164,093.28, 246,139.86 and 39,434.28 is: 59,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,093.28 : 246,139.86 = 39,434.28 : x
  2. Step 2: Convert to fraction form
    164,093.28/246,139.86 = 39,434.28/x
  3. Step 3: Cross multiply
    164,093.28x = 246,139.86 × 39,434.28
  4. Step 4: Simplify right side
    164,093.28x = 9,706,347,383.25
  5. Step 5: Solve for x
    x = 9,706,347,383.25/164,093.28
  6. Step 6: Final answer
    x = 59,151.40

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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.