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Finding the Fourth Proportional to 114,462.94, 157,958.36 and 64,161.94

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Solution

The fourth proportional to 114,462.94, 157,958.36 and 64,161.94 is: 88,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.94 : 157,958.36 = 64,161.94 : x
  2. Step 2: Convert to fraction form
    114,462.94/157,958.36 = 64,161.94/x
  3. Step 3: Cross multiply
    114,462.94x = 157,958.36 × 64,161.94
  4. Step 4: Simplify right side
    114,462.94x = 10,134,914,816.82
  5. Step 5: Solve for x
    x = 10,134,914,816.82/114,462.94
  6. Step 6: Final answer
    x = 88,543.20

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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.