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Finding the Fourth Proportional to 193,851.54, 290,776.98 and 60,742.02

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Solution

The fourth proportional to 193,851.54, 290,776.98 and 60,742.02 is: 91,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,851.54 : 290,776.98 = 60,742.02 : x
  2. Step 2: Convert to fraction form
    193,851.54/290,776.98 = 60,742.02/x
  3. Step 3: Cross multiply
    193,851.54x = 290,776.98 × 60,742.02
  4. Step 4: Simplify right side
    193,851.54x = 17,662,381,134.70
  5. Step 5: Solve for x
    x = 17,662,381,134.70/193,851.54
  6. Step 6: Final answer
    x = 91,112.93

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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.