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Finding the Fourth Proportional to 119,365.65, 164,728.62 and 65,654.82

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Solution

The fourth proportional to 119,365.65, 164,728.62 and 65,654.82 is: 90,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,365.65 : 164,728.62 = 65,654.82 : x
  2. Step 2: Convert to fraction form
    119,365.65/164,728.62 = 65,654.82/x
  3. Step 3: Cross multiply
    119,365.65x = 164,728.62 × 65,654.82
  4. Step 4: Simplify right side
    119,365.65x = 10,815,227,894.95
  5. Step 5: Solve for x
    x = 10,815,227,894.95/119,365.65
  6. Step 6: Final answer
    x = 90,605.86

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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.