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Finding the Fourth Proportional to 193,805.02, 290,411.51 and 81,423.80

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Solution

The fourth proportional to 193,805.02, 290,411.51 and 81,423.80 is: 122,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,805.02 : 290,411.51 = 81,423.80 : x
  2. Step 2: Convert to fraction form
    193,805.02/290,411.51 = 81,423.80/x
  3. Step 3: Cross multiply
    193,805.02x = 290,411.51 × 81,423.80
  4. Step 4: Simplify right side
    193,805.02x = 23,646,407,937.80
  5. Step 5: Solve for x
    x = 23,646,407,937.80/193,805.02
  6. Step 6: Final answer
    x = 122,011.33

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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.