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Finding the Fourth Proportional to 202,709.04, 304,081.38 and 52,948.14

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Solution

The fourth proportional to 202,709.04, 304,081.38 and 52,948.14 is: 79,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,709.04 : 304,081.38 = 52,948.14 : x
  2. Step 2: Convert to fraction form
    202,709.04/304,081.38 = 52,948.14/x
  3. Step 3: Cross multiply
    202,709.04x = 304,081.38 × 52,948.14
  4. Step 4: Simplify right side
    202,709.04x = 16,100,543,479.63
  5. Step 5: Solve for x
    x = 16,100,543,479.63/202,709.04
  6. Step 6: Final answer
    x = 79,426.86

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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.