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Finding the Fourth Proportional to 194,245.30, 292,024.05 and 165,376.90

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Solution

The fourth proportional to 194,245.30, 292,024.05 and 165,376.90 is: 248,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,245.30 : 292,024.05 = 165,376.90 : x
  2. Step 2: Convert to fraction form
    194,245.30/292,024.05 = 165,376.90/x
  3. Step 3: Cross multiply
    194,245.30x = 292,024.05 × 165,376.90
  4. Step 4: Simplify right side
    194,245.30x = 48,294,032,114.45
  5. Step 5: Solve for x
    x = 48,294,032,114.45/194,245.30
  6. Step 6: Final answer
    x = 248,623.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.