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Finding the Fourth Proportional to 142,616.17, 196,802.50 and 78,072.93

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Solution

The fourth proportional to 142,616.17, 196,802.50 and 78,072.93 is: 107,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,616.17 : 196,802.50 = 78,072.93 : x
  2. Step 2: Convert to fraction form
    142,616.17/196,802.50 = 78,072.93/x
  3. Step 3: Cross multiply
    142,616.17x = 196,802.50 × 78,072.93
  4. Step 4: Simplify right side
    142,616.17x = 15,364,947,806.33
  5. Step 5: Solve for x
    x = 15,364,947,806.33/142,616.17
  6. Step 6: Final answer
    x = 107,736.37

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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.