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Finding the Fourth Proportional to 114,098.40, 157,403.41 and 73,825.29

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Solution

The fourth proportional to 114,098.40, 157,403.41 and 73,825.29 is: 101,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098.40 : 157,403.41 = 73,825.29 : x
  2. Step 2: Convert to fraction form
    114,098.40/157,403.41 = 73,825.29/x
  3. Step 3: Cross multiply
    114,098.40x = 157,403.41 × 73,825.29
  4. Step 4: Simplify right side
    114,098.40x = 11,620,352,205.68
  5. Step 5: Solve for x
    x = 11,620,352,205.68/114,098.40
  6. Step 6: Final answer
    x = 101,845.01

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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.