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Finding the Fourth Proportional to 199,809.48, 299,673.54 and 73,406.28

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Solution

The fourth proportional to 199,809.48, 299,673.54 and 73,406.28 is: 110,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,809.48 : 299,673.54 = 73,406.28 : x
  2. Step 2: Convert to fraction form
    199,809.48/299,673.54 = 73,406.28/x
  3. Step 3: Cross multiply
    199,809.48x = 299,673.54 × 73,406.28
  4. Step 4: Simplify right side
    199,809.48x = 21,997,919,785.83
  5. Step 5: Solve for x
    x = 21,997,919,785.83/199,809.48
  6. Step 6: Final answer
    x = 110,094.47

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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.