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Finding the Fourth Proportional to 202,184.84, 303,278.48 and 89,838.65

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Solution

The fourth proportional to 202,184.84, 303,278.48 and 89,838.65 is: 134,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,184.84 : 303,278.48 = 89,838.65 : x
  2. Step 2: Convert to fraction form
    202,184.84/303,278.48 = 89,838.65/x
  3. Step 3: Cross multiply
    202,184.84x = 303,278.48 × 89,838.65
  4. Step 4: Simplify right side
    202,184.84x = 27,246,127,251.67
  5. Step 5: Solve for x
    x = 27,246,127,251.67/202,184.84
  6. Step 6: Final answer
    x = 134,758.51

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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.