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Finding the Fourth Proportional to 142,106.72, 196,108.64 and 78,443.15

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Solution

The fourth proportional to 142,106.72, 196,108.64 and 78,443.15 is: 108,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,106.72 : 196,108.64 = 78,443.15 : x
  2. Step 2: Convert to fraction form
    142,106.72/196,108.64 = 78,443.15/x
  3. Step 3: Cross multiply
    142,106.72x = 196,108.64 × 78,443.15
  4. Step 4: Simplify right side
    142,106.72x = 15,383,378,091.06
  5. Step 5: Solve for x
    x = 15,383,378,091.06/142,106.72
  6. Step 6: Final answer
    x = 108,252.30

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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.