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Finding the Fourth Proportional to 116,563.01, 160,856.69 and 65,575.76

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Solution

The fourth proportional to 116,563.01, 160,856.69 and 65,575.76 is: 90,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,563.01 : 160,856.69 = 65,575.76 : x
  2. Step 2: Convert to fraction form
    116,563.01/160,856.69 = 65,575.76/x
  3. Step 3: Cross multiply
    116,563.01x = 160,856.69 × 65,575.76
  4. Step 4: Simplify right side
    116,563.01x = 10,548,298,565.67
  5. Step 5: Solve for x
    x = 10,548,298,565.67/116,563.01
  6. Step 6: Final answer
    x = 90,494.39

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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.