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Finding the Fourth Proportional to 107,877.60, 161,816.40 and 61,221.60

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Solution

The fourth proportional to 107,877.60, 161,816.40 and 61,221.60 is: 91,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,877.60 : 161,816.40 = 61,221.60 : x
  2. Step 2: Convert to fraction form
    107,877.60/161,816.40 = 61,221.60/x
  3. Step 3: Cross multiply
    107,877.60x = 161,816.40 × 61,221.60
  4. Step 4: Simplify right side
    107,877.60x = 9,906,658,914.24
  5. Step 5: Solve for x
    x = 9,906,658,914.24/107,877.60
  6. Step 6: Final answer
    x = 91,832.40

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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.