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Finding the Fourth Proportional to 293,266.50, 404,708.04 and 159,130.50

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Solution

The fourth proportional to 293,266.50, 404,708.04 and 159,130.50 is: 219,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,266.50 : 404,708.04 = 159,130.50 : x
  2. Step 2: Convert to fraction form
    293,266.50/404,708.04 = 159,130.50/x
  3. Step 3: Cross multiply
    293,266.50x = 404,708.04 × 159,130.50
  4. Step 4: Simplify right side
    293,266.50x = 64,401,392,759.22
  5. Step 5: Solve for x
    x = 64,401,392,759.22/293,266.50
  6. Step 6: Final answer
    x = 219,600.24

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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.