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Finding the Fourth Proportional to 116,001.38, 160,093.14 and 65,022.77

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Solution

The fourth proportional to 116,001.38, 160,093.14 and 65,022.77 is: 89,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,001.38 : 160,093.14 = 65,022.77 : x
  2. Step 2: Convert to fraction form
    116,001.38/160,093.14 = 65,022.77/x
  3. Step 3: Cross multiply
    116,001.38x = 160,093.14 × 65,022.77
  4. Step 4: Simplify right side
    116,001.38x = 10,409,699,420.80
  5. Step 5: Solve for x
    x = 10,409,699,420.80/116,001.38
  6. Step 6: Final answer
    x = 89,737.72

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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.