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Finding the Fourth Proportional to 131,436, 181,351.98 and 77,723.28

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Solution

The fourth proportional to 131,436, 181,351.98 and 77,723.28 is: 107,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,436 : 181,351.98 = 77,723.28 : x
  2. Step 2: Convert to fraction form
    131,436/181,351.98 = 77,723.28/x
  3. Step 3: Cross multiply
    131,436x = 181,351.98 × 77,723.28
  4. Step 4: Simplify right side
    131,436x = 14,095,270,720.09
  5. Step 5: Solve for x
    x = 14,095,270,720.09/131,436
  6. Step 6: Final answer
    x = 107,240.56

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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.