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Finding the Fourth Proportional to 116,008.35, 160,095.92 and 65,022.02

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Solution

The fourth proportional to 116,008.35, 160,095.92 and 65,022.02 is: 89,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,008.35 : 160,095.92 = 65,022.02 : x
  2. Step 2: Convert to fraction form
    116,008.35/160,095.92 = 65,022.02/x
  3. Step 3: Cross multiply
    116,008.35x = 160,095.92 × 65,022.02
  4. Step 4: Simplify right side
    116,008.35x = 10,409,759,319.53
  5. Step 5: Solve for x
    x = 10,409,759,319.53/116,008.35
  6. Step 6: Final answer
    x = 89,732.84

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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.