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Finding the Fourth Proportional to 208,788.26, 288,052.52 and 118,143.27

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Solution

The fourth proportional to 208,788.26, 288,052.52 and 118,143.27 is: 162,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,788.26 : 288,052.52 = 118,143.27 : x
  2. Step 2: Convert to fraction form
    208,788.26/288,052.52 = 118,143.27/x
  3. Step 3: Cross multiply
    208,788.26x = 288,052.52 × 118,143.27
  4. Step 4: Simplify right side
    208,788.26x = 34,031,466,053.82
  5. Step 5: Solve for x
    x = 34,031,466,053.82/208,788.26
  6. Step 6: Final answer
    x = 162,995.12

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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.