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Finding the Fourth Proportional to 194,927.28, 292,401.36 and 61,817.64

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Solution

The fourth proportional to 194,927.28, 292,401.36 and 61,817.64 is: 92,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,927.28 : 292,401.36 = 61,817.64 : x
  2. Step 2: Convert to fraction form
    194,927.28/292,401.36 = 61,817.64/x
  3. Step 3: Cross multiply
    194,927.28x = 292,401.36 × 61,817.64
  4. Step 4: Simplify right side
    194,927.28x = 18,075,562,007.99
  5. Step 5: Solve for x
    x = 18,075,562,007.99/194,927.28
  6. Step 6: Final answer
    x = 92,729.77

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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.