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Finding the Fourth Proportional to 266,149.50, 367,286.55 and 146,917.50

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Solution

The fourth proportional to 266,149.50, 367,286.55 and 146,917.50 is: 202,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,149.50 : 367,286.55 = 146,917.50 : x
  2. Step 2: Convert to fraction form
    266,149.50/367,286.55 = 146,917.50/x
  3. Step 3: Cross multiply
    266,149.50x = 367,286.55 × 146,917.50
  4. Step 4: Simplify right side
    266,149.50x = 53,960,821,709.63
  5. Step 5: Solve for x
    x = 53,960,821,709.63/266,149.50
  6. Step 6: Final answer
    x = 202,746.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.