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Finding the Fourth Proportional to 114,464.94, 157,961.12 and 64,163.94

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Solution

The fourth proportional to 114,464.94, 157,961.12 and 64,163.94 is: 88,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464.94 : 157,961.12 = 64,163.94 : x
  2. Step 2: Convert to fraction form
    114,464.94/157,961.12 = 64,163.94/x
  3. Step 3: Cross multiply
    114,464.94x = 157,961.12 × 64,163.94
  4. Step 4: Simplify right side
    114,464.94x = 10,135,407,826.01
  5. Step 5: Solve for x
    x = 10,135,407,826.01/114,464.94
  6. Step 6: Final answer
    x = 88,545.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.