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Finding the Fourth Proportional to 191,814.96, 264,704.94 and 106,930.20

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Solution

The fourth proportional to 191,814.96, 264,704.94 and 106,930.20 is: 147,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,814.96 : 264,704.94 = 106,930.20 : x
  2. Step 2: Convert to fraction form
    191,814.96/264,704.94 = 106,930.20/x
  3. Step 3: Cross multiply
    191,814.96x = 264,704.94 × 106,930.20
  4. Step 4: Simplify right side
    191,814.96x = 28,304,952,175.19
  5. Step 5: Solve for x
    x = 28,304,952,175.19/191,814.96
  6. Step 6: Final answer
    x = 147,563.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.