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Finding the Fourth Proportional to 189,903.17, 284,893.17 and 84,722.13

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Solution

The fourth proportional to 189,903.17, 284,893.17 and 84,722.13 is: 127,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,903.17 : 284,893.17 = 84,722.13 : x
  2. Step 2: Convert to fraction form
    189,903.17/284,893.17 = 84,722.13/x
  3. Step 3: Cross multiply
    189,903.17x = 284,893.17 × 84,722.13
  4. Step 4: Simplify right side
    189,903.17x = 24,136,756,184.85
  5. Step 5: Solve for x
    x = 24,136,756,184.85/189,903.17
  6. Step 6: Final answer
    x = 127,100.33

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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.