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Finding the Fourth Proportional to 215,712.80, 323,511.60 and 65,952.80

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Solution

The fourth proportional to 215,712.80, 323,511.60 and 65,952.80 is: 98,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,712.80 : 323,511.60 = 65,952.80 : x
  2. Step 2: Convert to fraction form
    215,712.80/323,511.60 = 65,952.80/x
  3. Step 3: Cross multiply
    215,712.80x = 323,511.60 × 65,952.80
  4. Step 4: Simplify right side
    215,712.80x = 21,336,495,852.48
  5. Step 5: Solve for x
    x = 21,336,495,852.48/215,712.80
  6. Step 6: Final answer
    x = 98,911.59

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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.