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Finding the Fourth Proportional to 185,032.86, 277,566.71 and 51,912.60

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Solution

The fourth proportional to 185,032.86, 277,566.71 and 51,912.60 is: 77,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,032.86 : 277,566.71 = 51,912.60 : x
  2. Step 2: Convert to fraction form
    185,032.86/277,566.71 = 51,912.60/x
  3. Step 3: Cross multiply
    185,032.86x = 277,566.71 × 51,912.60
  4. Step 4: Simplify right side
    185,032.86x = 14,409,209,589.55
  5. Step 5: Solve for x
    x = 14,409,209,589.55/185,032.86
  6. Step 6: Final answer
    x = 77,873.79

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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.