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Finding the Fourth Proportional to 152,139.41, 209,936.22 and 84,145.58

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Solution

The fourth proportional to 152,139.41, 209,936.22 and 84,145.58 is: 116,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,139.41 : 209,936.22 = 84,145.58 : x
  2. Step 2: Convert to fraction form
    152,139.41/209,936.22 = 84,145.58/x
  3. Step 3: Cross multiply
    152,139.41x = 209,936.22 × 84,145.58
  4. Step 4: Simplify right side
    152,139.41x = 17,665,204,994.91
  5. Step 5: Solve for x
    x = 17,665,204,994.91/152,139.41
  6. Step 6: Final answer
    x = 116,111.96

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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.