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Finding the Fourth Proportional to 193,209.45, 289,758.80 and 65,111.78

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Solution

The fourth proportional to 193,209.45, 289,758.80 and 65,111.78 is: 97,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,209.45 : 289,758.80 = 65,111.78 : x
  2. Step 2: Convert to fraction form
    193,209.45/289,758.80 = 65,111.78/x
  3. Step 3: Cross multiply
    193,209.45x = 289,758.80 × 65,111.78
  4. Step 4: Simplify right side
    193,209.45x = 18,866,709,464.31
  5. Step 5: Solve for x
    x = 18,866,709,464.31/193,209.45
  6. Step 6: Final answer
    x = 97,649.00

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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.