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Finding the Fourth Proportional to 114,296.41, 157,731.60 and 65,237.05

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Solution

The fourth proportional to 114,296.41, 157,731.60 and 65,237.05 is: 90,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,296.41 : 157,731.60 = 65,237.05 : x
  2. Step 2: Convert to fraction form
    114,296.41/157,731.60 = 65,237.05/x
  3. Step 3: Cross multiply
    114,296.41x = 157,731.60 × 65,237.05
  4. Step 4: Simplify right side
    114,296.41x = 10,289,944,275.78
  5. Step 5: Solve for x
    x = 10,289,944,275.78/114,296.41
  6. Step 6: Final answer
    x = 90,028.59

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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.