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Finding the Fourth Proportional to 101,274.66, 139,668.23 and 84,335.00

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Solution

The fourth proportional to 101,274.66, 139,668.23 and 84,335.00 is: 116,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,274.66 : 139,668.23 = 84,335.00 : x
  2. Step 2: Convert to fraction form
    101,274.66/139,668.23 = 84,335.00/x
  3. Step 3: Cross multiply
    101,274.66x = 139,668.23 × 84,335.00
  4. Step 4: Simplify right side
    101,274.66x = 11,778,919,689.55
  5. Step 5: Solve for x
    x = 11,778,919,689.55/101,274.66
  6. Step 6: Final answer
    x = 116,306.68

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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.