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Finding the Fourth Proportional to 119,104.66, 164,365.61 and 64,657.25

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Solution

The fourth proportional to 119,104.66, 164,365.61 and 64,657.25 is: 89,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,104.66 : 164,365.61 = 64,657.25 : x
  2. Step 2: Convert to fraction form
    119,104.66/164,365.61 = 64,657.25/x
  3. Step 3: Cross multiply
    119,104.66x = 164,365.61 × 64,657.25
  4. Step 4: Simplify right side
    119,104.66x = 10,627,428,448.73
  5. Step 5: Solve for x
    x = 10,627,428,448.73/119,104.66
  6. Step 6: Final answer
    x = 89,227.65

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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.