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Finding the Fourth Proportional to 208,518.68, 287,756.26 and 113,024.94

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Solution

The fourth proportional to 208,518.68, 287,756.26 and 113,024.94 is: 155,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,518.68 : 287,756.26 = 113,024.94 : x
  2. Step 2: Convert to fraction form
    208,518.68/287,756.26 = 113,024.94/x
  3. Step 3: Cross multiply
    208,518.68x = 287,756.26 × 113,024.94
  4. Step 4: Simplify right side
    208,518.68x = 32,523,633,738.56
  5. Step 5: Solve for x
    x = 32,523,633,738.56/208,518.68
  6. Step 6: Final answer
    x = 155,974.68

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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.