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Finding the Fourth Proportional to 110,507.64, 165,810.46 and 57,904.60

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Solution

The fourth proportional to 110,507.64, 165,810.46 and 57,904.60 is: 86,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,507.64 : 165,810.46 = 57,904.60 : x
  2. Step 2: Convert to fraction form
    110,507.64/165,810.46 = 57,904.60/x
  3. Step 3: Cross multiply
    110,507.64x = 165,810.46 × 57,904.60
  4. Step 4: Simplify right side
    110,507.64x = 9,601,188,362.12
  5. Step 5: Solve for x
    x = 9,601,188,362.12/110,507.64
  6. Step 6: Final answer
    x = 86,882.58

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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.