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Finding the Fourth Proportional to 194,964.80, 292,301.40 and 106,318.40

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Solution

The fourth proportional to 194,964.80, 292,301.40 and 106,318.40 is: 159,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,964.80 : 292,301.40 = 106,318.40 : x
  2. Step 2: Convert to fraction form
    194,964.80/292,301.40 = 106,318.40/x
  3. Step 3: Cross multiply
    194,964.80x = 292,301.40 × 106,318.40
  4. Step 4: Simplify right side
    194,964.80x = 31,077,017,165.76
  5. Step 5: Solve for x
    x = 31,077,017,165.76/194,964.80
  6. Step 6: Final answer
    x = 159,398.09

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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.