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Finding the Fourth Proportional to 200,866.60, 301,299.90 and 116,885.80

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Solution

The fourth proportional to 200,866.60, 301,299.90 and 116,885.80 is: 175,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.60 : 301,299.90 = 116,885.80 : x
  2. Step 2: Convert to fraction form
    200,866.60/301,299.90 = 116,885.80/x
  3. Step 3: Cross multiply
    200,866.60x = 301,299.90 × 116,885.80
  4. Step 4: Simplify right side
    200,866.60x = 35,217,679,851.42
  5. Step 5: Solve for x
    x = 35,217,679,851.42/200,866.60
  6. Step 6: Final answer
    x = 175,328.70

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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.