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Finding the Fourth Proportional to 191,808.28, 264,695.40 and 106,930.78

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Solution

The fourth proportional to 191,808.28, 264,695.40 and 106,930.78 is: 147,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,808.28 : 264,695.40 = 106,930.78 : x
  2. Step 2: Convert to fraction form
    191,808.28/264,695.40 = 106,930.78/x
  3. Step 3: Cross multiply
    191,808.28x = 264,695.40 × 106,930.78
  4. Step 4: Simplify right side
    191,808.28x = 28,304,085,584.41
  5. Step 5: Solve for x
    x = 28,304,085,584.41/191,808.28
  6. Step 6: Final answer
    x = 147,564.46

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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.