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Finding the Fourth Proportional to 194,996.90, 292,458.36 and 95,056.58

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Solution

The fourth proportional to 194,996.90, 292,458.36 and 95,056.58 is: 142,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,996.90 : 292,458.36 = 95,056.58 : x
  2. Step 2: Convert to fraction form
    194,996.90/292,458.36 = 95,056.58/x
  3. Step 3: Cross multiply
    194,996.90x = 292,458.36 × 95,056.58
  4. Step 4: Simplify right side
    194,996.90x = 27,800,091,494.01
  5. Step 5: Solve for x
    x = 27,800,091,494.01/194,996.90
  6. Step 6: Final answer
    x = 142,566.84

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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.