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Finding the Fourth Proportional to 284,245.93, 426,143.98 and 106,733.17

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Solution

The fourth proportional to 284,245.93, 426,143.98 and 106,733.17 is: 160,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,245.93 : 426,143.98 = 106,733.17 : x
  2. Step 2: Convert to fraction form
    284,245.93/426,143.98 = 106,733.17/x
  3. Step 3: Cross multiply
    284,245.93x = 426,143.98 × 106,733.17
  4. Step 4: Simplify right side
    284,245.93x = 45,483,697,861.82
  5. Step 5: Solve for x
    x = 45,483,697,861.82/284,245.93
  6. Step 6: Final answer
    x = 160,015.30

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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.