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Finding the Fourth Proportional to 205,656.48, 308,292.48 and 72,462.24

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Solution

The fourth proportional to 205,656.48, 308,292.48 and 72,462.24 is: 108,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,656.48 : 308,292.48 = 72,462.24 : x
  2. Step 2: Convert to fraction form
    205,656.48/308,292.48 = 72,462.24/x
  3. Step 3: Cross multiply
    205,656.48x = 308,292.48 × 72,462.24
  4. Step 4: Simplify right side
    205,656.48x = 22,339,563,675.96
  5. Step 5: Solve for x
    x = 22,339,563,675.96/205,656.48
  6. Step 6: Final answer
    x = 108,625.63

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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.