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Finding the Fourth Proportional to 120,783.54, 181,117.08 and 50,644.02

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Solution

The fourth proportional to 120,783.54, 181,117.08 and 50,644.02 is: 75,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783.54 : 181,117.08 = 50,644.02 : x
  2. Step 2: Convert to fraction form
    120,783.54/181,117.08 = 50,644.02/x
  3. Step 3: Cross multiply
    120,783.54x = 181,117.08 × 50,644.02
  4. Step 4: Simplify right side
    120,783.54x = 9,172,497,021.86
  5. Step 5: Solve for x
    x = 9,172,497,021.86/120,783.54
  6. Step 6: Final answer
    x = 75,941.61

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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.