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Finding the Fourth Proportional to 105,668.88, 145,837.97 and 65,395.61

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Solution

The fourth proportional to 105,668.88, 145,837.97 and 65,395.61 is: 90,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,668.88 : 145,837.97 = 65,395.61 : x
  2. Step 2: Convert to fraction form
    105,668.88/145,837.97 = 65,395.61/x
  3. Step 3: Cross multiply
    105,668.88x = 145,837.97 × 65,395.61
  4. Step 4: Simplify right side
    105,668.88x = 9,537,162,317.74
  5. Step 5: Solve for x
    x = 9,537,162,317.74/105,668.88
  6. Step 6: Final answer
    x = 90,255.17

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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.