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Finding the Fourth Proportional to 201,805.70, 302,708.55 and 180,032.90

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Solution

The fourth proportional to 201,805.70, 302,708.55 and 180,032.90 is: 270,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,805.70 : 302,708.55 = 180,032.90 : x
  2. Step 2: Convert to fraction form
    201,805.70/302,708.55 = 180,032.90/x
  3. Step 3: Cross multiply
    201,805.70x = 302,708.55 × 180,032.90
  4. Step 4: Simplify right side
    201,805.70x = 54,497,498,111.30
  5. Step 5: Solve for x
    x = 54,497,498,111.30/201,805.70
  6. Step 6: Final answer
    x = 270,049.35

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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.