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Finding the Fourth Proportional to 142,428.30, 196,543.72 and 77,884.97

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Solution

The fourth proportional to 142,428.30, 196,543.72 and 77,884.97 is: 107,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,428.30 : 196,543.72 = 77,884.97 : x
  2. Step 2: Convert to fraction form
    142,428.30/196,543.72 = 77,884.97/x
  3. Step 3: Cross multiply
    142,428.30x = 196,543.72 × 77,884.97
  4. Step 4: Simplify right side
    142,428.30x = 15,307,802,208.96
  5. Step 5: Solve for x
    x = 15,307,802,208.96/142,428.30
  6. Step 6: Final answer
    x = 107,477.25

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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.