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Finding the Fourth Proportional to 162,093.53, 242,943.35 and 114,722.43

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Solution

The fourth proportional to 162,093.53, 242,943.35 and 114,722.43 is: 171,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,093.53 : 242,943.35 = 114,722.43 : x
  2. Step 2: Convert to fraction form
    162,093.53/242,943.35 = 114,722.43/x
  3. Step 3: Cross multiply
    162,093.53x = 242,943.35 × 114,722.43
  4. Step 4: Simplify right side
    162,093.53x = 27,871,050,625.00
  5. Step 5: Solve for x
    x = 27,871,050,625.00/162,093.53
  6. Step 6: Final answer
    x = 171,944.25

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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.