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Finding the Fourth Proportional to 288,102.88, 397,562.24 and 159,035.28

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Solution

The fourth proportional to 288,102.88, 397,562.24 and 159,035.28 is: 219,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,102.88 : 397,562.24 = 159,035.28 : x
  2. Step 2: Convert to fraction form
    288,102.88/397,562.24 = 159,035.28/x
  3. Step 3: Cross multiply
    288,102.88x = 397,562.24 × 159,035.28
  4. Step 4: Simplify right side
    288,102.88x = 63,226,422,155.83
  5. Step 5: Solve for x
    x = 63,226,422,155.83/288,102.88
  6. Step 6: Final answer
    x = 219,457.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.