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Finding the Fourth Proportional to 201,876.60, 302,814.90 and 200,494.20

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Solution

The fourth proportional to 201,876.60, 302,814.90 and 200,494.20 is: 300,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,876.60 : 302,814.90 = 200,494.20 : x
  2. Step 2: Convert to fraction form
    201,876.60/302,814.90 = 200,494.20/x
  3. Step 3: Cross multiply
    201,876.60x = 302,814.90 × 200,494.20
  4. Step 4: Simplify right side
    201,876.60x = 60,712,631,123.58
  5. Step 5: Solve for x
    x = 60,712,631,123.58/201,876.60
  6. Step 6: Final answer
    x = 300,741.30

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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.