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Finding the Fourth Proportional to 208,452.06, 287,664.87 and 112,958.93

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Solution

The fourth proportional to 208,452.06, 287,664.87 and 112,958.93 is: 155,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,452.06 : 287,664.87 = 112,958.93 : x
  2. Step 2: Convert to fraction form
    208,452.06/287,664.87 = 112,958.93/x
  3. Step 3: Cross multiply
    208,452.06x = 287,664.87 × 112,958.93
  4. Step 4: Simplify right side
    208,452.06x = 32,494,315,913.79
  5. Step 5: Solve for x
    x = 32,494,315,913.79/208,452.06
  6. Step 6: Final answer
    x = 155,883.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.