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Finding the Fourth Proportional to 268,101.09, 402,151.40 and 68,421.46

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Solution

The fourth proportional to 268,101.09, 402,151.40 and 68,421.46 is: 102,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,101.09 : 402,151.40 = 68,421.46 : x
  2. Step 2: Convert to fraction form
    268,101.09/402,151.40 = 68,421.46/x
  3. Step 3: Cross multiply
    268,101.09x = 402,151.40 × 68,421.46
  4. Step 4: Simplify right side
    268,101.09x = 27,515,785,929.04
  5. Step 5: Solve for x
    x = 27,515,785,929.04/268,101.09
  6. Step 6: Final answer
    x = 102,632.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.