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Finding the Fourth Proportional to 193,897.70, 290,853.06 and 53,644.58

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Solution

The fourth proportional to 193,897.70, 290,853.06 and 53,644.58 is: 80,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,897.70 : 290,853.06 = 53,644.58 : x
  2. Step 2: Convert to fraction form
    193,897.70/290,853.06 = 53,644.58/x
  3. Step 3: Cross multiply
    193,897.70x = 290,853.06 × 53,644.58
  4. Step 4: Simplify right side
    193,897.70x = 15,602,690,245.41
  5. Step 5: Solve for x
    x = 15,602,690,245.41/193,897.70
  6. Step 6: Final answer
    x = 80,468.67

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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.