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Finding the Fourth Proportional to 189,264.54, 283,705.38 and 122,746.98

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Solution

The fourth proportional to 189,264.54, 283,705.38 and 122,746.98 is: 183,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,264.54 : 283,705.38 = 122,746.98 : x
  2. Step 2: Convert to fraction form
    189,264.54/283,705.38 = 122,746.98/x
  3. Step 3: Cross multiply
    189,264.54x = 283,705.38 × 122,746.98
  4. Step 4: Simplify right side
    189,264.54x = 34,823,978,604.75
  5. Step 5: Solve for x
    x = 34,823,978,604.75/189,264.54
  6. Step 6: Final answer
    x = 183,996.32

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Why These Related Problems?

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