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Finding the Fourth Proportional to 114,309.34, 157,749.42 and 65,249.95

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Solution

The fourth proportional to 114,309.34, 157,749.42 and 65,249.95 is: 90,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,309.34 : 157,749.42 = 65,249.95 : x
  2. Step 2: Convert to fraction form
    114,309.34/157,749.42 = 65,249.95/x
  3. Step 3: Cross multiply
    114,309.34x = 157,749.42 × 65,249.95
  4. Step 4: Simplify right side
    114,309.34x = 10,293,141,767.53
  5. Step 5: Solve for x
    x = 10,293,141,767.53/114,309.34
  6. Step 6: Final answer
    x = 90,046.38

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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.