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Finding the Fourth Proportional to 144,578.17, 199,538.82 and 83,312.44

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Solution

The fourth proportional to 144,578.17, 199,538.82 and 83,312.44 is: 114,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,578.17 : 199,538.82 = 83,312.44 : x
  2. Step 2: Convert to fraction form
    144,578.17/199,538.82 = 83,312.44/x
  3. Step 3: Cross multiply
    144,578.17x = 199,538.82 × 83,312.44
  4. Step 4: Simplify right side
    144,578.17x = 16,624,065,968.92
  5. Step 5: Solve for x
    x = 16,624,065,968.92/144,578.17
  6. Step 6: Final answer
    x = 114,983.24

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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.