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Finding the Fourth Proportional to 215,966.76, 323,957.73 and 58,198.98

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Solution

The fourth proportional to 215,966.76, 323,957.73 and 58,198.98 is: 87,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,966.76 : 323,957.73 = 58,198.98 : x
  2. Step 2: Convert to fraction form
    215,966.76/323,957.73 = 58,198.98/x
  3. Step 3: Cross multiply
    215,966.76x = 323,957.73 × 58,198.98
  4. Step 4: Simplify right side
    215,966.76x = 18,854,009,449.12
  5. Step 5: Solve for x
    x = 18,854,009,449.12/215,966.76
  6. Step 6: Final answer
    x = 87,300.52

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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.