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Finding the Fourth Proportional to 116,002.38, 160,094.52 and 65,023.77

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Solution

The fourth proportional to 116,002.38, 160,094.52 and 65,023.77 is: 89,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,002.38 : 160,094.52 = 65,023.77 : x
  2. Step 2: Convert to fraction form
    116,002.38/160,094.52 = 65,023.77/x
  3. Step 3: Cross multiply
    116,002.38x = 160,094.52 × 65,023.77
  4. Step 4: Simplify right side
    116,002.38x = 10,409,949,246.74
  5. Step 5: Solve for x
    x = 10,409,949,246.74/116,002.38
  6. Step 6: Final answer
    x = 89,739.10

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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.