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Finding the Fourth Proportional to 138,074.14, 190,543.41 and 76,821.22

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Solution

The fourth proportional to 138,074.14, 190,543.41 and 76,821.22 is: 106,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,074.14 : 190,543.41 = 76,821.22 : x
  2. Step 2: Convert to fraction form
    138,074.14/190,543.41 = 76,821.22/x
  3. Step 3: Cross multiply
    138,074.14x = 190,543.41 × 76,821.22
  4. Step 4: Simplify right side
    138,074.14x = 14,637,777,219.16
  5. Step 5: Solve for x
    x = 14,637,777,219.16/138,074.14
  6. Step 6: Final answer
    x = 106,013.89

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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.