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Finding the Fourth Proportional to 208,948.50, 288,348.93 and 119,524.50

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Solution

The fourth proportional to 208,948.50, 288,348.93 and 119,524.50 is: 164,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,948.50 : 288,348.93 = 119,524.50 : x
  2. Step 2: Convert to fraction form
    208,948.50/288,348.93 = 119,524.50/x
  3. Step 3: Cross multiply
    208,948.50x = 288,348.93 × 119,524.50
  4. Step 4: Simplify right side
    208,948.50x = 34,464,761,683.79
  5. Step 5: Solve for x
    x = 34,464,761,683.79/208,948.50
  6. Step 6: Final answer
    x = 164,943.81

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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.