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Finding the Fourth Proportional to 123,219.86, 184,750.22 and 48,347.51

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Solution

The fourth proportional to 123,219.86, 184,750.22 and 48,347.51 is: 72,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,219.86 : 184,750.22 = 48,347.51 : x
  2. Step 2: Convert to fraction form
    123,219.86/184,750.22 = 48,347.51/x
  3. Step 3: Cross multiply
    123,219.86x = 184,750.22 × 48,347.51
  4. Step 4: Simplify right side
    123,219.86x = 8,932,211,943.46
  5. Step 5: Solve for x
    x = 8,932,211,943.46/123,219.86
  6. Step 6: Final answer
    x = 72,490.04

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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.