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Finding the Fourth Proportional to 208,322.66, 287,484.36 and 116,441.82

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Solution

The fourth proportional to 208,322.66, 287,484.36 and 116,441.82 is: 160,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,322.66 : 287,484.36 = 116,441.82 : x
  2. Step 2: Convert to fraction form
    208,322.66/287,484.36 = 116,441.82/x
  3. Step 3: Cross multiply
    208,322.66x = 287,484.36 × 116,441.82
  4. Step 4: Simplify right side
    208,322.66x = 33,475,202,099.94
  5. Step 5: Solve for x
    x = 33,475,202,099.94/208,322.66
  6. Step 6: Final answer
    x = 160,689.21

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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.