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Finding the Fourth Proportional to 191,142.80, 286,771.80 and 135,846.80

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Solution

The fourth proportional to 191,142.80, 286,771.80 and 135,846.80 is: 203,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,142.80 : 286,771.80 = 135,846.80 : x
  2. Step 2: Convert to fraction form
    191,142.80/286,771.80 = 135,846.80/x
  3. Step 3: Cross multiply
    191,142.80x = 286,771.80 × 135,846.80
  4. Step 4: Simplify right side
    191,142.80x = 38,957,031,360.24
  5. Step 5: Solve for x
    x = 38,957,031,360.24/191,142.80
  6. Step 6: Final answer
    x = 203,811.14

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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.