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Finding the Fourth Proportional to 142,097.36, 196,093.26 and 78,435.14

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Solution

The fourth proportional to 142,097.36, 196,093.26 and 78,435.14 is: 108,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,097.36 : 196,093.26 = 78,435.14 : x
  2. Step 2: Convert to fraction form
    142,097.36/196,093.26 = 78,435.14/x
  3. Step 3: Cross multiply
    142,097.36x = 196,093.26 × 78,435.14
  4. Step 4: Simplify right side
    142,097.36x = 15,380,602,301.16
  5. Step 5: Solve for x
    x = 15,380,602,301.16/142,097.36
  6. Step 6: Final answer
    x = 108,239.89

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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.