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Finding the Fourth Proportional to 133,281.08, 199,822.86 and 80,678.12

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Solution

The fourth proportional to 133,281.08, 199,822.86 and 80,678.12 is: 120,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,281.08 : 199,822.86 = 80,678.12 : x
  2. Step 2: Convert to fraction form
    133,281.08/199,822.86 = 80,678.12/x
  3. Step 3: Cross multiply
    133,281.08x = 199,822.86 × 80,678.12
  4. Step 4: Simplify right side
    133,281.08x = 16,121,332,677.82
  5. Step 5: Solve for x
    x = 16,121,332,677.82/133,281.08
  6. Step 6: Final answer
    x = 120,957.40

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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.