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Finding the Fourth Proportional to 114,296.53, 157,731.77 and 65,237.18

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Solution

The fourth proportional to 114,296.53, 157,731.77 and 65,237.18 is: 90,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,296.53 : 157,731.77 = 65,237.18 : x
  2. Step 2: Convert to fraction form
    114,296.53/157,731.77 = 65,237.18/x
  3. Step 3: Cross multiply
    114,296.53x = 157,731.77 × 65,237.18
  4. Step 4: Simplify right side
    114,296.53x = 10,289,975,871.21
  5. Step 5: Solve for x
    x = 10,289,975,871.21/114,296.53
  6. Step 6: Final answer
    x = 90,028.77

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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.