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Finding the Fourth Proportional to 114,491.79, 157,895.24 and 71,475.26

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Solution

The fourth proportional to 114,491.79, 157,895.24 and 71,475.26 is: 98,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,491.79 : 157,895.24 = 71,475.26 : x
  2. Step 2: Convert to fraction form
    114,491.79/157,895.24 = 71,475.26/x
  3. Step 3: Cross multiply
    114,491.79x = 157,895.24 × 71,475.26
  4. Step 4: Simplify right side
    114,491.79x = 11,285,603,331.76
  5. Step 5: Solve for x
    x = 11,285,603,331.76/114,491.79
  6. Step 6: Final answer
    x = 98,571.29

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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.