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Finding the Fourth Proportional to 107,419.60, 161,065.40 and 65,896.40

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Solution

The fourth proportional to 107,419.60, 161,065.40 and 65,896.40 is: 98,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,419.60 : 161,065.40 = 65,896.40 : x
  2. Step 2: Convert to fraction form
    107,419.60/161,065.40 = 65,896.40/x
  3. Step 3: Cross multiply
    107,419.60x = 161,065.40 × 65,896.40
  4. Step 4: Simplify right side
    107,419.60x = 10,613,630,024.56
  5. Step 5: Solve for x
    x = 10,613,630,024.56/107,419.60
  6. Step 6: Final answer
    x = 98,805.34

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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.