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Finding the Fourth Proportional to 208,437.12, 287,682 and 119,013.12

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Solution

The fourth proportional to 208,437.12, 287,682 and 119,013.12 is: 164,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437.12 : 287,682 = 119,013.12 : x
  2. Step 2: Convert to fraction form
    208,437.12/287,682 = 119,013.12/x
  3. Step 3: Cross multiply
    208,437.12x = 287,682 × 119,013.12
  4. Step 4: Simplify right side
    208,437.12x = 34,237,932,387.84
  5. Step 5: Solve for x
    x = 34,237,932,387.84/208,437.12
  6. Step 6: Final answer
    x = 164,260.24

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