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Finding the Fourth Proportional to 166,147.36, 229,248.32 and 105,696

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Solution

The fourth proportional to 166,147.36, 229,248.32 and 105,696 is: 145,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,147.36 : 229,248.32 = 105,696 : x
  2. Step 2: Convert to fraction form
    166,147.36/229,248.32 = 105,696/x
  3. Step 3: Cross multiply
    166,147.36x = 229,248.32 × 105,696
  4. Step 4: Simplify right side
    166,147.36x = 24,230,630,430.72
  5. Step 5: Solve for x
    x = 24,230,630,430.72/166,147.36
  6. Step 6: Final answer
    x = 145,838.19

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