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Finding the Fourth Proportional to 130,008.89, 194,853.83 and 73,896

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Solution

The fourth proportional to 130,008.89, 194,853.83 and 73,896 is: 110,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,008.89 : 194,853.83 = 73,896 : x
  2. Step 2: Convert to fraction form
    130,008.89/194,853.83 = 73,896/x
  3. Step 3: Cross multiply
    130,008.89x = 194,853.83 × 73,896
  4. Step 4: Simplify right side
    130,008.89x = 14,398,918,252.20
  5. Step 5: Solve for x
    x = 14,398,918,252.20/130,008.89
  6. Step 6: Final answer
    x = 110,753.34

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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.