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Finding the Fourth Proportional to 202,287.70, 282,677.90 and 202,287.70

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Solution

The fourth proportional to 202,287.70, 282,677.90 and 202,287.70 is: 282,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.70 : 282,677.90 = 202,287.70 : x
  2. Step 2: Convert to fraction form
    202,287.70/282,677.90 = 202,287.70/x
  3. Step 3: Cross multiply
    202,287.70x = 282,677.90 × 202,287.70
  4. Step 4: Simplify right side
    202,287.70x = 57,182,262,231.83
  5. Step 5: Solve for x
    x = 57,182,262,231.83/202,287.70
  6. Step 6: Final answer
    x = 282,677.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.