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Finding the Fourth Proportional to 116,014.68, 160,100.25 and 65,713.68

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Solution

The fourth proportional to 116,014.68, 160,100.25 and 65,713.68 is: 90,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,014.68 : 160,100.25 = 65,713.68 : x
  2. Step 2: Convert to fraction form
    116,014.68/160,100.25 = 65,713.68/x
  3. Step 3: Cross multiply
    116,014.68x = 160,100.25 × 65,713.68
  4. Step 4: Simplify right side
    116,014.68x = 10,520,776,596.42
  5. Step 5: Solve for x
    x = 10,520,776,596.42/116,014.68
  6. Step 6: Final answer
    x = 90,684.87

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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.