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Finding the Fourth Proportional to 144,338.68, 216,503.16 and 50,842

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Solution

The fourth proportional to 144,338.68, 216,503.16 and 50,842 is: 76,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,338.68 : 216,503.16 = 50,842 : x
  2. Step 2: Convert to fraction form
    144,338.68/216,503.16 = 50,842/x
  3. Step 3: Cross multiply
    144,338.68x = 216,503.16 × 50,842
  4. Step 4: Simplify right side
    144,338.68x = 11,007,453,660.72
  5. Step 5: Solve for x
    x = 11,007,453,660.72/144,338.68
  6. Step 6: Final answer
    x = 76,261.29

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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.