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Finding the Fourth Proportional to 208,374.92, 287,551.38 and 122,332.47

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Solution

The fourth proportional to 208,374.92, 287,551.38 and 122,332.47 is: 168,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,374.92 : 287,551.38 = 122,332.47 : x
  2. Step 2: Convert to fraction form
    208,374.92/287,551.38 = 122,332.47/x
  3. Step 3: Cross multiply
    208,374.92x = 287,551.38 × 122,332.47
  4. Step 4: Simplify right side
    208,374.92x = 35,176,870,567.31
  5. Step 5: Solve for x
    x = 35,176,870,567.31/208,374.92
  6. Step 6: Final answer
    x = 168,815.28

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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.