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Finding the Fourth Proportional to 169,365.75, 233,724.38 and 97,745.77

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Solution

The fourth proportional to 169,365.75, 233,724.38 and 97,745.77 is: 134,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,365.75 : 233,724.38 = 97,745.77 : x
  2. Step 2: Convert to fraction form
    169,365.75/233,724.38 = 97,745.77/x
  3. Step 3: Cross multiply
    169,365.75x = 233,724.38 × 97,745.77
  4. Step 4: Simplify right side
    169,365.75x = 22,845,569,294.30
  5. Step 5: Solve for x
    x = 22,845,569,294.30/169,365.75
  6. Step 6: Final answer
    x = 134,888.96

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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.