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Finding the Fourth Proportional to 148,229.64, 222,184.98 and 64,029.42

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Solution

The fourth proportional to 148,229.64, 222,184.98 and 64,029.42 is: 95,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,229.64 : 222,184.98 = 64,029.42 : x
  2. Step 2: Convert to fraction form
    148,229.64/222,184.98 = 64,029.42/x
  3. Step 3: Cross multiply
    148,229.64x = 222,184.98 × 64,029.42
  4. Step 4: Simplify right side
    148,229.64x = 14,226,375,402.11
  5. Step 5: Solve for x
    x = 14,226,375,402.11/148,229.64
  6. Step 6: Final answer
    x = 95,975.24

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1.5x scale

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.