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Finding the Fourth Proportional to 202,314.70, 283,655.30 and 202,314.70

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Solution

The fourth proportional to 202,314.70, 283,655.30 and 202,314.70 is: 283,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,314.70 : 283,655.30 = 202,314.70 : x
  2. Step 2: Convert to fraction form
    202,314.70/283,655.30 = 202,314.70/x
  3. Step 3: Cross multiply
    202,314.70x = 283,655.30 × 202,314.70
  4. Step 4: Simplify right side
    202,314.70x = 57,387,636,922.91
  5. Step 5: Solve for x
    x = 57,387,636,922.91/202,314.70
  6. Step 6: Final answer
    x = 283,655.30

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