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Finding the Fourth Proportional to 185,200.38, 277,903.50 and 90,431.76

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Solution

The fourth proportional to 185,200.38, 277,903.50 and 90,431.76 is: 135,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200.38 : 277,903.50 = 90,431.76 : x
  2. Step 2: Convert to fraction form
    185,200.38/277,903.50 = 90,431.76/x
  3. Step 3: Cross multiply
    185,200.38x = 277,903.50 × 90,431.76
  4. Step 4: Simplify right side
    185,200.38x = 25,131,302,615.16
  5. Step 5: Solve for x
    x = 25,131,302,615.16/185,200.38
  6. Step 6: Final answer
    x = 135,697.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.