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Finding the Fourth Proportional to 142,108.36, 196,111.14 and 78,446.20

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Solution

The fourth proportional to 142,108.36, 196,111.14 and 78,446.20 is: 108,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,108.36 : 196,111.14 = 78,446.20 : x
  2. Step 2: Convert to fraction form
    142,108.36/196,111.14 = 78,446.20/x
  3. Step 3: Cross multiply
    142,108.36x = 196,111.14 × 78,446.20
  4. Step 4: Simplify right side
    142,108.36x = 15,384,173,710.67
  5. Step 5: Solve for x
    x = 15,384,173,710.67/142,108.36
  6. Step 6: Final answer
    x = 108,256.64

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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.