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Finding the Fourth Proportional to 110,258.66, 165,442.64 and 43,697.31

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Solution

The fourth proportional to 110,258.66, 165,442.64 and 43,697.31 is: 65,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,258.66 : 165,442.64 = 43,697.31 : x
  2. Step 2: Convert to fraction form
    110,258.66/165,442.64 = 43,697.31/x
  3. Step 3: Cross multiply
    110,258.66x = 165,442.64 × 43,697.31
  4. Step 4: Simplify right side
    110,258.66x = 7,229,398,108.81
  5. Step 5: Solve for x
    x = 7,229,398,108.81/110,258.66
  6. Step 6: Final answer
    x = 65,567.62

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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.