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Finding the Fourth Proportional to 114,329.10, 157,796.21 and 65,962.26

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Solution

The fourth proportional to 114,329.10, 157,796.21 and 65,962.26 is: 91,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,329.10 : 157,796.21 = 65,962.26 : x
  2. Step 2: Convert to fraction form
    114,329.10/157,796.21 = 65,962.26/x
  3. Step 3: Cross multiply
    114,329.10x = 157,796.21 × 65,962.26
  4. Step 4: Simplify right side
    114,329.10x = 10,408,594,631.03
  5. Step 5: Solve for x
    x = 10,408,594,631.03/114,329.10
  6. Step 6: Final answer
    x = 91,040.64

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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.