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Finding the Fourth Proportional to 166,894.46, 250,266.84 and 99,458.32

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Solution

The fourth proportional to 166,894.46, 250,266.84 and 99,458.32 is: 149,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,894.46 : 250,266.84 = 99,458.32 : x
  2. Step 2: Convert to fraction form
    166,894.46/250,266.84 = 99,458.32/x
  3. Step 3: Cross multiply
    166,894.46x = 250,266.84 × 99,458.32
  4. Step 4: Simplify right side
    166,894.46x = 24,891,118,459.47
  5. Step 5: Solve for x
    x = 24,891,118,459.47/166,894.46
  6. Step 6: Final answer
    x = 149,142.87

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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.