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Finding the Fourth Proportional to 131,664.54, 181,696.80 and 71,235

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Solution

The fourth proportional to 131,664.54, 181,696.80 and 71,235 is: 98,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,664.54 : 181,696.80 = 71,235 : x
  2. Step 2: Convert to fraction form
    131,664.54/181,696.80 = 71,235/x
  3. Step 3: Cross multiply
    131,664.54x = 181,696.80 × 71,235
  4. Step 4: Simplify right side
    131,664.54x = 12,943,171,548
  5. Step 5: Solve for x
    x = 12,943,171,548/131,664.54
  6. Step 6: Final answer
    x = 98,304.16

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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.