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Finding the Fourth Proportional to 119,808.96, 165,334.56 and 65,360.64

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Solution

The fourth proportional to 119,808.96, 165,334.56 and 65,360.64 is: 90,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,808.96 : 165,334.56 = 65,360.64 : x
  2. Step 2: Convert to fraction form
    119,808.96/165,334.56 = 65,360.64/x
  3. Step 3: Cross multiply
    119,808.96x = 165,334.56 × 65,360.64
  4. Step 4: Simplify right side
    119,808.96x = 10,806,372,655.72
  5. Step 5: Solve for x
    x = 10,806,372,655.72/119,808.96
  6. Step 6: Final answer
    x = 90,196.70

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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.