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Finding the Fourth Proportional to 116,508.48, 160,780.17 and 65,521.20

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Solution

The fourth proportional to 116,508.48, 160,780.17 and 65,521.20 is: 90,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,508.48 : 160,780.17 = 65,521.20 : x
  2. Step 2: Convert to fraction form
    116,508.48/160,780.17 = 65,521.20/x
  3. Step 3: Cross multiply
    116,508.48x = 160,780.17 × 65,521.20
  4. Step 4: Simplify right side
    116,508.48x = 10,534,509,674.60
  5. Step 5: Solve for x
    x = 10,534,509,674.60/116,508.48
  6. Step 6: Final answer
    x = 90,418.39

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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.