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Finding the Fourth Proportional to 114,412.14, 157,880.79 and 63,424.38

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Solution

The fourth proportional to 114,412.14, 157,880.79 and 63,424.38 is: 87,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,412.14 : 157,880.79 = 63,424.38 : x
  2. Step 2: Convert to fraction form
    114,412.14/157,880.79 = 63,424.38/x
  3. Step 3: Cross multiply
    114,412.14x = 157,880.79 × 63,424.38
  4. Step 4: Simplify right side
    114,412.14x = 10,013,491,219.66
  5. Step 5: Solve for x
    x = 10,013,491,219.66/114,412.14
  6. Step 6: Final answer
    x = 87,521.23

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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.