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Finding the Fourth Proportional to 106,094.34, 159,143.47 and 84,936.13

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Solution

The fourth proportional to 106,094.34, 159,143.47 and 84,936.13 is: 127,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,094.34 : 159,143.47 = 84,936.13 : x
  2. Step 2: Convert to fraction form
    106,094.34/159,143.47 = 84,936.13/x
  3. Step 3: Cross multiply
    106,094.34x = 159,143.47 × 84,936.13
  4. Step 4: Simplify right side
    106,094.34x = 13,517,029,846.37
  5. Step 5: Solve for x
    x = 13,517,029,846.37/106,094.34
  6. Step 6: Final answer
    x = 127,405.76

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1.5x scale

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.