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Finding the Fourth Proportional to 193,094.37, 289,264.47 and 91,748.19

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Solution

The fourth proportional to 193,094.37, 289,264.47 and 91,748.19 is: 137,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,094.37 : 289,264.47 = 91,748.19 : x
  2. Step 2: Convert to fraction form
    193,094.37/289,264.47 = 91,748.19/x
  3. Step 3: Cross multiply
    193,094.37x = 289,264.47 × 91,748.19
  4. Step 4: Simplify right side
    193,094.37x = 26,539,491,553.81
  5. Step 5: Solve for x
    x = 26,539,491,553.81/193,094.37
  6. Step 6: Final answer
    x = 137,443.11

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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.