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Finding the Fourth Proportional to 193,646.44, 290,461.76 and 67,315.33

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Solution

The fourth proportional to 193,646.44, 290,461.76 and 67,315.33 is: 100,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,646.44 : 290,461.76 = 67,315.33 : x
  2. Step 2: Convert to fraction form
    193,646.44/290,461.76 = 67,315.33/x
  3. Step 3: Cross multiply
    193,646.44x = 290,461.76 × 67,315.33
  4. Step 4: Simplify right side
    193,646.44x = 19,552,529,226.78
  5. Step 5: Solve for x
    x = 19,552,529,226.78/193,646.44
  6. Step 6: Final answer
    x = 100,970.25

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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.