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Finding the Fourth Proportional to 208,675.50, 287,972.19 and 119,251.50

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Solution

The fourth proportional to 208,675.50, 287,972.19 and 119,251.50 is: 164,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,675.50 : 287,972.19 = 119,251.50 : x
  2. Step 2: Convert to fraction form
    208,675.50/287,972.19 = 119,251.50/x
  3. Step 3: Cross multiply
    208,675.50x = 287,972.19 × 119,251.50
  4. Step 4: Simplify right side
    208,675.50x = 34,341,115,615.79
  5. Step 5: Solve for x
    x = 34,341,115,615.79/208,675.50
  6. Step 6: Final answer
    x = 164,567.07

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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.