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Finding the Fourth Proportional to 107,872.40, 161,808.60 and 96,467.60

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Solution

The fourth proportional to 107,872.40, 161,808.60 and 96,467.60 is: 144,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,872.40 : 161,808.60 = 96,467.60 : x
  2. Step 2: Convert to fraction form
    107,872.40/161,808.60 = 96,467.60/x
  3. Step 3: Cross multiply
    107,872.40x = 161,808.60 × 96,467.60
  4. Step 4: Simplify right side
    107,872.40x = 15,609,287,301.36
  5. Step 5: Solve for x
    x = 15,609,287,301.36/107,872.40
  6. Step 6: Final answer
    x = 144,701.40

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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.