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Finding the Fourth Proportional to 284,842.77, 427,132.59 and 104,883

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Solution

The fourth proportional to 284,842.77, 427,132.59 and 104,883 is: 157,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,842.77 : 427,132.59 = 104,883 : x
  2. Step 2: Convert to fraction form
    284,842.77/427,132.59 = 104,883/x
  3. Step 3: Cross multiply
    284,842.77x = 427,132.59 × 104,883
  4. Step 4: Simplify right side
    284,842.77x = 44,798,947,436.97
  5. Step 5: Solve for x
    x = 44,798,947,436.97/284,842.77
  6. Step 6: Final answer
    x = 157,276.06

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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.