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Finding the Fourth Proportional to 208,564, 287,816.61 and 113,068.24

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Solution

The fourth proportional to 208,564, 287,816.61 and 113,068.24 is: 156,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,564 : 287,816.61 = 113,068.24 : x
  2. Step 2: Convert to fraction form
    208,564/287,816.61 = 113,068.24/x
  3. Step 3: Cross multiply
    208,564x = 287,816.61 × 113,068.24
  4. Step 4: Simplify right side
    208,564x = 32,542,917,535.47
  5. Step 5: Solve for x
    x = 32,542,917,535.47/208,564
  6. Step 6: Final answer
    x = 156,033.24

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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.