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Finding the Fourth Proportional to 201,416.05, 302,132.27 and 83,076.11

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Solution

The fourth proportional to 201,416.05, 302,132.27 and 83,076.11 is: 124,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,416.05 : 302,132.27 = 83,076.11 : x
  2. Step 2: Convert to fraction form
    201,416.05/302,132.27 = 83,076.11/x
  3. Step 3: Cross multiply
    201,416.05x = 302,132.27 × 83,076.11
  4. Step 4: Simplify right side
    201,416.05x = 25,099,973,697.07
  5. Step 5: Solve for x
    x = 25,099,973,697.07/201,416.05
  6. Step 6: Final answer
    x = 124,617.55

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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.