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Finding the Fourth Proportional to 208,677.94, 287,970.33 and 116,795.86

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Solution

The fourth proportional to 208,677.94, 287,970.33 and 116,795.86 is: 161,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,677.94 : 287,970.33 = 116,795.86 : x
  2. Step 2: Convert to fraction form
    208,677.94/287,970.33 = 116,795.86/x
  3. Step 3: Cross multiply
    208,677.94x = 287,970.33 × 116,795.86
  4. Step 4: Simplify right side
    208,677.94x = 33,633,742,346.83
  5. Step 5: Solve for x
    x = 33,633,742,346.83/208,677.94
  6. Step 6: Final answer
    x = 161,175.36

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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.