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Finding the Fourth Proportional to 114,969.12, 158,655.76 and 64,668

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Solution

The fourth proportional to 114,969.12, 158,655.76 and 64,668 is: 89,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,969.12 : 158,655.76 = 64,668 : x
  2. Step 2: Convert to fraction form
    114,969.12/158,655.76 = 64,668/x
  3. Step 3: Cross multiply
    114,969.12x = 158,655.76 × 64,668
  4. Step 4: Simplify right side
    114,969.12x = 10,259,950,687.68
  5. Step 5: Solve for x
    x = 10,259,950,687.68/114,969.12
  6. Step 6: Final answer
    x = 89,240.93

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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.