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Finding the Fourth Proportional to 208,555, 287,804.19 and 113,059.24

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Solution

The fourth proportional to 208,555, 287,804.19 and 113,059.24 is: 156,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,555 : 287,804.19 = 113,059.24 : x
  2. Step 2: Convert to fraction form
    208,555/287,804.19 = 113,059.24/x
  3. Step 3: Cross multiply
    208,555x = 287,804.19 × 113,059.24
  4. Step 4: Simplify right side
    208,555x = 32,538,922,990.22
  5. Step 5: Solve for x
    x = 32,538,922,990.22/208,555
  6. Step 6: Final answer
    x = 156,020.82

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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.