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Finding the Fourth Proportional to 181,954.86, 272,894.64 and 48,803.46

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Solution

The fourth proportional to 181,954.86, 272,894.64 and 48,803.46 is: 73,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,954.86 : 272,894.64 = 48,803.46 : x
  2. Step 2: Convert to fraction form
    181,954.86/272,894.64 = 48,803.46/x
  3. Step 3: Cross multiply
    181,954.86x = 272,894.64 × 48,803.46
  4. Step 4: Simplify right side
    181,954.86x = 13,318,202,647.45
  5. Step 5: Solve for x
    x = 13,318,202,647.45/181,954.86
  6. Step 6: Final answer
    x = 73,195.09

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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.