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Finding the Fourth Proportional to 144,323.87, 199,037.54 and 120,204.91

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Solution

The fourth proportional to 144,323.87, 199,037.54 and 120,204.91 is: 165,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,323.87 : 199,037.54 = 120,204.91 : x
  2. Step 2: Convert to fraction form
    144,323.87/199,037.54 = 120,204.91/x
  3. Step 3: Cross multiply
    144,323.87x = 199,037.54 × 120,204.91
  4. Step 4: Simplify right side
    144,323.87x = 23,925,287,986.11
  5. Step 5: Solve for x
    x = 23,925,287,986.11/144,323.87
  6. Step 6: Final answer
    x = 165,774.99

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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.