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Finding the Fourth Proportional to 201,832.80, 302,749.20 and 83,443.20

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Solution

The fourth proportional to 201,832.80, 302,749.20 and 83,443.20 is: 125,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832.80 : 302,749.20 = 83,443.20 : x
  2. Step 2: Convert to fraction form
    201,832.80/302,749.20 = 83,443.20/x
  3. Step 3: Cross multiply
    201,832.80x = 302,749.20 × 83,443.20
  4. Step 4: Simplify right side
    201,832.80x = 25,262,362,045.44
  5. Step 5: Solve for x
    x = 25,262,362,045.44/201,832.80
  6. Step 6: Final answer
    x = 125,164.80

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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.