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Finding the Fourth Proportional to 144,154.94, 216,238.31 and 49,450.25

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Solution

The fourth proportional to 144,154.94, 216,238.31 and 49,450.25 is: 74,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,154.94 : 216,238.31 = 49,450.25 : x
  2. Step 2: Convert to fraction form
    144,154.94/216,238.31 = 49,450.25/x
  3. Step 3: Cross multiply
    144,154.94x = 216,238.31 × 49,450.25
  4. Step 4: Simplify right side
    144,154.94x = 10,693,037,160.63
  5. Step 5: Solve for x
    x = 10,693,037,160.63/144,154.94
  6. Step 6: Final answer
    x = 74,177.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.