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Finding the Fourth Proportional to 138,109.34, 190,596.58 and 77,682.80

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Solution

The fourth proportional to 138,109.34, 190,596.58 and 77,682.80 is: 107,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,109.34 : 190,596.58 = 77,682.80 : x
  2. Step 2: Convert to fraction form
    138,109.34/190,596.58 = 77,682.80/x
  3. Step 3: Cross multiply
    138,109.34x = 190,596.58 × 77,682.80
  4. Step 4: Simplify right side
    138,109.34x = 14,806,076,004.82
  5. Step 5: Solve for x
    x = 14,806,076,004.82/138,109.34
  6. Step 6: Final answer
    x = 107,205.46

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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.