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Finding the Fourth Proportional to 142,147.24, 196,163.60 and 77,616.60

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Solution

The fourth proportional to 142,147.24, 196,163.60 and 77,616.60 is: 107,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,147.24 : 196,163.60 = 77,616.60 : x
  2. Step 2: Convert to fraction form
    142,147.24/196,163.60 = 77,616.60/x
  3. Step 3: Cross multiply
    142,147.24x = 196,163.60 × 77,616.60
  4. Step 4: Simplify right side
    142,147.24x = 15,225,551,675.76
  5. Step 5: Solve for x
    x = 15,225,551,675.76/142,147.24
  6. Step 6: Final answer
    x = 107,111.13

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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.