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Finding the Fourth Proportional to 118,904.47, 164,083.80 and 65,188.31

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Solution

The fourth proportional to 118,904.47, 164,083.80 and 65,188.31 is: 89,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,904.47 : 164,083.80 = 65,188.31 : x
  2. Step 2: Convert to fraction form
    118,904.47/164,083.80 = 65,188.31/x
  3. Step 3: Cross multiply
    118,904.47x = 164,083.80 × 65,188.31
  4. Step 4: Simplify right side
    118,904.47x = 10,696,345,620.38
  5. Step 5: Solve for x
    x = 10,696,345,620.38/118,904.47
  6. Step 6: Final answer
    x = 89,957.47

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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.