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Finding the Fourth Proportional to 293,564.53, 405,121.13 and 159,428.53

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Solution

The fourth proportional to 293,564.53, 405,121.13 and 159,428.53 is: 220,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,564.53 : 405,121.13 = 159,428.53 : x
  2. Step 2: Convert to fraction form
    293,564.53/405,121.13 = 159,428.53/x
  3. Step 3: Cross multiply
    293,564.53x = 405,121.13 × 159,428.53
  4. Step 4: Simplify right side
    293,564.53x = 64,587,866,227.84
  5. Step 5: Solve for x
    x = 64,587,866,227.84/293,564.53
  6. Step 6: Final answer
    x = 220,012.50

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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.