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Finding the Fourth Proportional to 193,090.61, 289,258.86 and 91,744.44

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Solution

The fourth proportional to 193,090.61, 289,258.86 and 91,744.44 is: 137,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,090.61 : 289,258.86 = 91,744.44 : x
  2. Step 2: Convert to fraction form
    193,090.61/289,258.86 = 91,744.44/x
  3. Step 3: Cross multiply
    193,090.61x = 289,258.86 × 91,744.44
  4. Step 4: Simplify right side
    193,090.61x = 26,537,890,758.57
  5. Step 5: Solve for x
    x = 26,537,890,758.57/193,090.61
  6. Step 6: Final answer
    x = 137,437.50

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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.