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Finding the Fourth Proportional to 202,226.10, 303,314.85 and 83,885.10

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Solution

The fourth proportional to 202,226.10, 303,314.85 and 83,885.10 is: 125,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,226.10 : 303,314.85 = 83,885.10 : x
  2. Step 2: Convert to fraction form
    202,226.10/303,314.85 = 83,885.10/x
  3. Step 3: Cross multiply
    202,226.10x = 303,314.85 × 83,885.10
  4. Step 4: Simplify right side
    202,226.10x = 25,443,596,523.74
  5. Step 5: Solve for x
    x = 25,443,596,523.74/202,226.10
  6. Step 6: Final answer
    x = 125,817.57

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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.