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Finding the Fourth Proportional to 114,447.86, 157,937.26 and 63,460.56

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Solution

The fourth proportional to 114,447.86, 157,937.26 and 63,460.56 is: 87,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,447.86 : 157,937.26 = 63,460.56 : x
  2. Step 2: Convert to fraction form
    114,447.86/157,937.26 = 63,460.56/x
  3. Step 3: Cross multiply
    114,447.86x = 157,937.26 × 63,460.56
  4. Step 4: Simplify right side
    114,447.86x = 10,022,786,647.16
  5. Step 5: Solve for x
    x = 10,022,786,647.16/114,447.86
  6. Step 6: Final answer
    x = 87,575.14

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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.