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Finding the Fourth Proportional to 147,766.44, 203,984.82 and 94,125

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Solution

The fourth proportional to 147,766.44, 203,984.82 and 94,125 is: 129,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,766.44 : 203,984.82 = 94,125 : x
  2. Step 2: Convert to fraction form
    147,766.44/203,984.82 = 94,125/x
  3. Step 3: Cross multiply
    147,766.44x = 203,984.82 × 94,125
  4. Step 4: Simplify right side
    147,766.44x = 19,200,071,182.50
  5. Step 5: Solve for x
    x = 19,200,071,182.50/147,766.44
  6. Step 6: Final answer
    x = 129,935.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.