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Finding the Fourth Proportional to 284,816.76, 427,266.60 and 104,988.25

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Solution

The fourth proportional to 284,816.76, 427,266.60 and 104,988.25 is: 157,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,816.76 : 427,266.60 = 104,988.25 : x
  2. Step 2: Convert to fraction form
    284,816.76/427,266.60 = 104,988.25/x
  3. Step 3: Cross multiply
    284,816.76x = 427,266.60 × 104,988.25
  4. Step 4: Simplify right side
    284,816.76x = 44,857,972,757.83
  5. Step 5: Solve for x
    x = 44,857,972,757.83/284,816.76
  6. Step 6: Final answer
    x = 157,497.66

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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.