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Finding the Fourth Proportional to 114,464.82, 157,994.37 and 69,135.60

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Solution

The fourth proportional to 114,464.82, 157,994.37 and 69,135.60 is: 95,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464.82 : 157,994.37 = 69,135.60 : x
  2. Step 2: Convert to fraction form
    114,464.82/157,994.37 = 69,135.60/x
  3. Step 3: Cross multiply
    114,464.82x = 157,994.37 × 69,135.60
  4. Step 4: Simplify right side
    114,464.82x = 10,923,035,566.57
  5. Step 5: Solve for x
    x = 10,923,035,566.57/114,464.82
  6. Step 6: Final answer
    x = 95,427.01

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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.