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Finding the Fourth Proportional to 114,334.24, 157,781.28 and 64,033.60

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Solution

The fourth proportional to 114,334.24, 157,781.28 and 64,033.60 is: 88,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,334.24 : 157,781.28 = 64,033.60 : x
  2. Step 2: Convert to fraction form
    114,334.24/157,781.28 = 64,033.60/x
  3. Step 3: Cross multiply
    114,334.24x = 157,781.28 × 64,033.60
  4. Step 4: Simplify right side
    114,334.24x = 10,103,303,371.01
  5. Step 5: Solve for x
    x = 10,103,303,371.01/114,334.24
  6. Step 6: Final answer
    x = 88,366.38

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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.