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Finding the Fourth Proportional to 201,175.70, 301,763.55 and 106,276.10

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Solution

The fourth proportional to 201,175.70, 301,763.55 and 106,276.10 is: 159,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,175.70 : 301,763.55 = 106,276.10 : x
  2. Step 2: Convert to fraction form
    201,175.70/301,763.55 = 106,276.10/x
  3. Step 3: Cross multiply
    201,175.70x = 301,763.55 × 106,276.10
  4. Step 4: Simplify right side
    201,175.70x = 32,070,253,216.16
  5. Step 5: Solve for x
    x = 32,070,253,216.16/201,175.70
  6. Step 6: Final answer
    x = 159,414.15

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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.