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Finding the Fourth Proportional to 194,898.54, 292,375.49 and 59,973.78

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Solution

The fourth proportional to 194,898.54, 292,375.49 and 59,973.78 is: 89,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898.54 : 292,375.49 = 59,973.78 : x
  2. Step 2: Convert to fraction form
    194,898.54/292,375.49 = 59,973.78/x
  3. Step 3: Cross multiply
    194,898.54x = 292,375.49 × 59,973.78
  4. Step 4: Simplify right side
    194,898.54x = 17,534,863,014.78
  5. Step 5: Solve for x
    x = 17,534,863,014.78/194,898.54
  6. Step 6: Final answer
    x = 89,969.19

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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.