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Finding the Fourth Proportional to 169,824, 254,774.88 and 59,016

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Solution

The fourth proportional to 169,824, 254,774.88 and 59,016 is: 88,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824 : 254,774.88 = 59,016 : x
  2. Step 2: Convert to fraction form
    169,824/254,774.88 = 59,016/x
  3. Step 3: Cross multiply
    169,824x = 254,774.88 × 59,016
  4. Step 4: Simplify right side
    169,824x = 15,035,794,318.08
  5. Step 5: Solve for x
    x = 15,035,794,318.08/169,824
  6. Step 6: Final answer
    x = 88,537.51

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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.