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Finding the Fourth Proportional to 202,294.51, 303,501.99 and 89,959.27

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Solution

The fourth proportional to 202,294.51, 303,501.99 and 89,959.27 is: 134,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.51 : 303,501.99 = 89,959.27 : x
  2. Step 2: Convert to fraction form
    202,294.51/303,501.99 = 89,959.27/x
  3. Step 3: Cross multiply
    202,294.51x = 303,501.99 × 89,959.27
  4. Step 4: Simplify right side
    202,294.51x = 27,302,817,463.95
  5. Step 5: Solve for x
    x = 27,302,817,463.95/202,294.51
  6. Step 6: Final answer
    x = 134,965.69

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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.