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Finding the Fourth Proportional to 122,094.66, 182,846.72 and 105,560.94

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Solution

The fourth proportional to 122,094.66, 182,846.72 and 105,560.94 is: 158,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,094.66 : 182,846.72 = 105,560.94 : x
  2. Step 2: Convert to fraction form
    122,094.66/182,846.72 = 105,560.94/x
  3. Step 3: Cross multiply
    122,094.66x = 182,846.72 × 105,560.94
  4. Step 4: Simplify right side
    122,094.66x = 19,301,471,639.12
  5. Step 5: Solve for x
    x = 19,301,471,639.12/122,094.66
  6. Step 6: Final answer
    x = 158,086.12

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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.