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Finding the Fourth Proportional to 193,681.88, 290,539.58 and 53,440.49

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Solution

The fourth proportional to 193,681.88, 290,539.58 and 53,440.49 is: 80,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,681.88 : 290,539.58 = 53,440.49 : x
  2. Step 2: Convert to fraction form
    193,681.88/290,539.58 = 53,440.49/x
  3. Step 3: Cross multiply
    193,681.88x = 290,539.58 × 53,440.49
  4. Step 4: Simplify right side
    193,681.88x = 15,526,577,519.59
  5. Step 5: Solve for x
    x = 15,526,577,519.59/193,681.88
  6. Step 6: Final answer
    x = 80,165.36

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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.