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Finding the Fourth Proportional to 195,465.20, 293,197.80 and 148,809.20

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Solution

The fourth proportional to 195,465.20, 293,197.80 and 148,809.20 is: 223,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,465.20 : 293,197.80 = 148,809.20 : x
  2. Step 2: Convert to fraction form
    195,465.20/293,197.80 = 148,809.20/x
  3. Step 3: Cross multiply
    195,465.20x = 293,197.80 × 148,809.20
  4. Step 4: Simplify right side
    195,465.20x = 43,630,530,059.76
  5. Step 5: Solve for x
    x = 43,630,530,059.76/195,465.20
  6. Step 6: Final answer
    x = 223,213.80

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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.