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Finding the Fourth Proportional to 202,865.84, 304,370.80 and 90,535.84

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Solution

The fourth proportional to 202,865.84, 304,370.80 and 90,535.84 is: 135,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,865.84 : 304,370.80 = 90,535.84 : x
  2. Step 2: Convert to fraction form
    202,865.84/304,370.80 = 90,535.84/x
  3. Step 3: Cross multiply
    202,865.84x = 304,370.80 × 90,535.84
  4. Step 4: Simplify right side
    202,865.84x = 27,556,466,049.47
  5. Step 5: Solve for x
    x = 27,556,466,049.47/202,865.84
  6. Step 6: Final answer
    x = 135,835.91

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1.5x scale

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.