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Finding the Fourth Proportional to 114,124, 157,491.66 and 63,823

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Solution

The fourth proportional to 114,124, 157,491.66 and 63,823 is: 88,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,124 : 157,491.66 = 63,823 : x
  2. Step 2: Convert to fraction form
    114,124/157,491.66 = 63,823/x
  3. Step 3: Cross multiply
    114,124x = 157,491.66 × 63,823
  4. Step 4: Simplify right side
    114,124x = 10,051,590,216.18
  5. Step 5: Solve for x
    x = 10,051,590,216.18/114,124
  6. Step 6: Final answer
    x = 88,076.04

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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.