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Finding the Fourth Proportional to 194,157, 290,814.84 and 94,107.89

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Solution

The fourth proportional to 194,157, 290,814.84 and 94,107.89 is: 140,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,157 : 290,814.84 = 94,107.89 : x
  2. Step 2: Convert to fraction form
    194,157/290,814.84 = 94,107.89/x
  3. Step 3: Cross multiply
    194,157x = 290,814.84 × 94,107.89
  4. Step 4: Simplify right side
    194,157x = 27,367,971,700.12
  5. Step 5: Solve for x
    x = 27,367,971,700.12/194,157
  6. Step 6: Final answer
    x = 140,957.94

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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.