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Finding the Fourth Proportional to 284,847.52, 427,139.72 and 104,887.74

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Solution

The fourth proportional to 284,847.52, 427,139.72 and 104,887.74 is: 157,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,847.52 : 427,139.72 = 104,887.74 : x
  2. Step 2: Convert to fraction form
    284,847.52/427,139.72 = 104,887.74/x
  3. Step 3: Cross multiply
    284,847.52x = 427,139.72 × 104,887.74
  4. Step 4: Simplify right side
    284,847.52x = 44,801,719,895.03
  5. Step 5: Solve for x
    x = 44,801,719,895.03/284,847.52
  6. Step 6: Final answer
    x = 157,283.17

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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.