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Finding the Fourth Proportional to 146,893.76, 220,301.28 and 63,768

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Solution

The fourth proportional to 146,893.76, 220,301.28 and 63,768 is: 95,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,893.76 : 220,301.28 = 63,768 : x
  2. Step 2: Convert to fraction form
    146,893.76/220,301.28 = 63,768/x
  3. Step 3: Cross multiply
    146,893.76x = 220,301.28 × 63,768
  4. Step 4: Simplify right side
    146,893.76x = 14,048,172,023.04
  5. Step 5: Solve for x
    x = 14,048,172,023.04/146,893.76
  6. Step 6: Final answer
    x = 95,634.91

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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.