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Finding the Fourth Proportional to 120,063.64, 165,697.80 and 66,359.14

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Solution

The fourth proportional to 120,063.64, 165,697.80 and 66,359.14 is: 91,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,063.64 : 165,697.80 = 66,359.14 : x
  2. Step 2: Convert to fraction form
    120,063.64/165,697.80 = 66,359.14/x
  3. Step 3: Cross multiply
    120,063.64x = 165,697.80 × 66,359.14
  4. Step 4: Simplify right side
    120,063.64x = 10,995,563,507.89
  5. Step 5: Solve for x
    x = 10,995,563,507.89/120,063.64
  6. Step 6: Final answer
    x = 91,581.13

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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.