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Finding the Fourth Proportional to 146,801.60, 220,202.40 and 145,419.20

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Solution

The fourth proportional to 146,801.60, 220,202.40 and 145,419.20 is: 218,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,801.60 : 220,202.40 = 145,419.20 : x
  2. Step 2: Convert to fraction form
    146,801.60/220,202.40 = 145,419.20/x
  3. Step 3: Cross multiply
    146,801.60x = 220,202.40 × 145,419.20
  4. Step 4: Simplify right side
    146,801.60x = 32,021,656,846.08
  5. Step 5: Solve for x
    x = 32,021,656,846.08/146,801.60
  6. Step 6: Final answer
    x = 218,128.80

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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.