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Finding the Fourth Proportional to 123,207.78, 184,831.60 and 48,287.28

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Solution

The fourth proportional to 123,207.78, 184,831.60 and 48,287.28 is: 72,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,207.78 : 184,831.60 = 48,287.28 : x
  2. Step 2: Convert to fraction form
    123,207.78/184,831.60 = 48,287.28/x
  3. Step 3: Cross multiply
    123,207.78x = 184,831.60 × 48,287.28
  4. Step 4: Simplify right side
    123,207.78x = 8,925,015,222.05
  5. Step 5: Solve for x
    x = 8,925,015,222.05/123,207.78
  6. Step 6: Final answer
    x = 72,438.73

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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.