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Finding the Fourth Proportional to 113,893.24, 170,844.46 and 42,808.46

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Solution

The fourth proportional to 113,893.24, 170,844.46 and 42,808.46 is: 64,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,893.24 : 170,844.46 = 42,808.46 : x
  2. Step 2: Convert to fraction form
    113,893.24/170,844.46 = 42,808.46/x
  3. Step 3: Cross multiply
    113,893.24x = 170,844.46 × 42,808.46
  4. Step 4: Simplify right side
    113,893.24x = 7,313,588,232.13
  5. Step 5: Solve for x
    x = 7,313,588,232.13/113,893.24
  6. Step 6: Final answer
    x = 64,214.42

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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.