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Finding the Fourth Proportional to 201,122.96, 301,581.16 and 106,404.24

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Solution

The fourth proportional to 201,122.96, 301,581.16 and 106,404.24 is: 159,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,122.96 : 301,581.16 = 106,404.24 : x
  2. Step 2: Convert to fraction form
    201,122.96/301,581.16 = 106,404.24/x
  3. Step 3: Cross multiply
    201,122.96x = 301,581.16 × 106,404.24
  4. Step 4: Simplify right side
    201,122.96x = 32,089,514,128.12
  5. Step 5: Solve for x
    x = 32,089,514,128.12/201,122.96
  6. Step 6: Final answer
    x = 159,551.72

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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.