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Finding the Fourth Proportional to 201,699.60, 302,768.10 and 126,904.20

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Solution

The fourth proportional to 201,699.60, 302,768.10 and 126,904.20 is: 190,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699.60 : 302,768.10 = 126,904.20 : x
  2. Step 2: Convert to fraction form
    201,699.60/302,768.10 = 126,904.20/x
  3. Step 3: Cross multiply
    201,699.60x = 302,768.10 × 126,904.20
  4. Step 4: Simplify right side
    201,699.60x = 38,422,543,516.02
  5. Step 5: Solve for x
    x = 38,422,543,516.02/201,699.60
  6. Step 6: Final answer
    x = 190,493.90

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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.