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Finding the Fourth Proportional to 213,352.08, 320,024.16 and 63,693.84

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Solution

The fourth proportional to 213,352.08, 320,024.16 and 63,693.84 is: 95,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,352.08 : 320,024.16 = 63,693.84 : x
  2. Step 2: Convert to fraction form
    213,352.08/320,024.16 = 63,693.84/x
  3. Step 3: Cross multiply
    213,352.08x = 320,024.16 × 63,693.84
  4. Step 4: Simplify right side
    213,352.08x = 20,383,567,643.17
  5. Step 5: Solve for x
    x = 20,383,567,643.17/213,352.08
  6. Step 6: Final answer
    x = 95,539.58

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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.