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Finding the Fourth Proportional to 110,302.64, 165,354.84 and 43,697.84

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Solution

The fourth proportional to 110,302.64, 165,354.84 and 43,697.84 is: 65,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,302.64 : 165,354.84 = 43,697.84 : x
  2. Step 2: Convert to fraction form
    110,302.64/165,354.84 = 43,697.84/x
  3. Step 3: Cross multiply
    110,302.64x = 165,354.84 × 43,697.84
  4. Step 4: Simplify right side
    110,302.64x = 7,225,649,341.55
  5. Step 5: Solve for x
    x = 7,225,649,341.55/110,302.64
  6. Step 6: Final answer
    x = 65,507.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.