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Finding the Fourth Proportional to 137,854.01, 190,239.29 and 77,424.66

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Solution

The fourth proportional to 137,854.01, 190,239.29 and 77,424.66 is: 106,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,854.01 : 190,239.29 = 77,424.66 : x
  2. Step 2: Convert to fraction form
    137,854.01/190,239.29 = 77,424.66/x
  3. Step 3: Cross multiply
    137,854.01x = 190,239.29 × 77,424.66
  4. Step 4: Simplify right side
    137,854.01x = 14,729,212,262.56
  5. Step 5: Solve for x
    x = 14,729,212,262.56/137,854.01
  6. Step 6: Final answer
    x = 106,846.45

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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.