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Finding the Fourth Proportional to 116,498.96, 160,763.80 and 65,510.24

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Solution

The fourth proportional to 116,498.96, 160,763.80 and 65,510.24 is: 90,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,498.96 : 160,763.80 = 65,510.24 : x
  2. Step 2: Convert to fraction form
    116,498.96/160,763.80 = 65,510.24/x
  3. Step 3: Cross multiply
    116,498.96x = 160,763.80 × 65,510.24
  4. Step 4: Simplify right side
    116,498.96x = 10,531,675,121.31
  5. Step 5: Solve for x
    x = 10,531,675,121.31/116,498.96
  6. Step 6: Final answer
    x = 90,401.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.