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Finding the Fourth Proportional to 253,722.60, 379,806.30 and 148,228.20

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Solution

The fourth proportional to 253,722.60, 379,806.30 and 148,228.20 is: 221,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,722.60 : 379,806.30 = 148,228.20 : x
  2. Step 2: Convert to fraction form
    253,722.60/379,806.30 = 148,228.20/x
  3. Step 3: Cross multiply
    253,722.60x = 379,806.30 × 148,228.20
  4. Step 4: Simplify right side
    253,722.60x = 56,298,004,197.66
  5. Step 5: Solve for x
    x = 56,298,004,197.66/253,722.60
  6. Step 6: Final answer
    x = 221,888.02

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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.