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Finding the Fourth Proportional to 208,657.41, 287,944.38 and 113,162.19

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Solution

The fourth proportional to 208,657.41, 287,944.38 and 113,162.19 is: 156,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,657.41 : 287,944.38 = 113,162.19 : x
  2. Step 2: Convert to fraction form
    208,657.41/287,944.38 = 113,162.19/x
  3. Step 3: Cross multiply
    208,657.41x = 287,944.38 × 113,162.19
  4. Step 4: Simplify right side
    208,657.41x = 32,584,416,638.99
  5. Step 5: Solve for x
    x = 32,584,416,638.99/208,657.41
  6. Step 6: Final answer
    x = 156,162.28

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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.