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Finding the Fourth Proportional to 114,295.53, 157,730.39 and 65,236.18

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Solution

The fourth proportional to 114,295.53, 157,730.39 and 65,236.18 is: 90,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,295.53 : 157,730.39 = 65,236.18 : x
  2. Step 2: Convert to fraction form
    114,295.53/157,730.39 = 65,236.18/x
  3. Step 3: Cross multiply
    114,295.53x = 157,730.39 × 65,236.18
  4. Step 4: Simplify right side
    114,295.53x = 10,289,727,324.86
  5. Step 5: Solve for x
    x = 10,289,727,324.86/114,295.53
  6. Step 6: Final answer
    x = 90,027.38

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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.