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Finding the Fourth Proportional to 114,463.59, 157,960.23 and 64,162.59

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Solution

The fourth proportional to 114,463.59, 157,960.23 and 64,162.59 is: 88,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,463.59 : 157,960.23 = 64,162.59 : x
  2. Step 2: Convert to fraction form
    114,463.59/157,960.23 = 64,162.59/x
  3. Step 3: Cross multiply
    114,463.59x = 157,960.23 × 64,162.59
  4. Step 4: Simplify right side
    114,463.59x = 10,135,137,473.80
  5. Step 5: Solve for x
    x = 10,135,137,473.80/114,463.59
  6. Step 6: Final answer
    x = 88,544.64

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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.