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Finding the Fourth Proportional to 284,863.92, 427,164.14 and 104,903.90

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Solution

The fourth proportional to 284,863.92, 427,164.14 and 104,903.90 is: 157,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,863.92 : 427,164.14 = 104,903.90 : x
  2. Step 2: Convert to fraction form
    284,863.92/427,164.14 = 104,903.90/x
  3. Step 3: Cross multiply
    284,863.92x = 427,164.14 × 104,903.90
  4. Step 4: Simplify right side
    284,863.92x = 44,811,184,226.15
  5. Step 5: Solve for x
    x = 44,811,184,226.15/284,863.92
  6. Step 6: Final answer
    x = 157,307.34

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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.