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Finding the Fourth Proportional to 133,697.12, 200,410.61 and 83,812.14

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Solution

The fourth proportional to 133,697.12, 200,410.61 and 83,812.14 is: 125,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,697.12 : 200,410.61 = 83,812.14 : x
  2. Step 2: Convert to fraction form
    133,697.12/200,410.61 = 83,812.14/x
  3. Step 3: Cross multiply
    133,697.12x = 200,410.61 × 83,812.14
  4. Step 4: Simplify right side
    133,697.12x = 16,796,841,683.74
  5. Step 5: Solve for x
    x = 16,796,841,683.74/133,697.12
  6. Step 6: Final answer
    x = 125,633.54

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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.