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Finding the Fourth Proportional to 142,052.40, 196,036.34 and 78,394.28

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Solution

The fourth proportional to 142,052.40, 196,036.34 and 78,394.28 is: 108,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,052.40 : 196,036.34 = 78,394.28 : x
  2. Step 2: Convert to fraction form
    142,052.40/196,036.34 = 78,394.28/x
  3. Step 3: Cross multiply
    142,052.40x = 196,036.34 × 78,394.28
  4. Step 4: Simplify right side
    142,052.40x = 15,368,126,355.98
  5. Step 5: Solve for x
    x = 15,368,126,355.98/142,052.40
  6. Step 6: Final answer
    x = 108,186.32

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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.