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Finding the Fourth Proportional to 148,645.58, 223,002.44 and 64,419.89

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Solution

The fourth proportional to 148,645.58, 223,002.44 and 64,419.89 is: 96,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,645.58 : 223,002.44 = 64,419.89 : x
  2. Step 2: Convert to fraction form
    148,645.58/223,002.44 = 64,419.89/x
  3. Step 3: Cross multiply
    148,645.58x = 223,002.44 × 64,419.89
  4. Step 4: Simplify right side
    148,645.58x = 14,365,791,217.42
  5. Step 5: Solve for x
    x = 14,365,791,217.42/148,645.58
  6. Step 6: Final answer
    x = 96,644.59

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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.