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Finding the Fourth Proportional to 126,466.86, 189,714.87 and 42,238.20

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Solution

The fourth proportional to 126,466.86, 189,714.87 and 42,238.20 is: 63,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,466.86 : 189,714.87 = 42,238.20 : x
  2. Step 2: Convert to fraction form
    126,466.86/189,714.87 = 42,238.20/x
  3. Step 3: Cross multiply
    126,466.86x = 189,714.87 × 42,238.20
  4. Step 4: Simplify right side
    126,466.86x = 8,013,214,622.03
  5. Step 5: Solve for x
    x = 8,013,214,622.03/126,466.86
  6. Step 6: Final answer
    x = 63,362.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.