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Finding the Fourth Proportional to 194,851, 292,285.01 and 61,741.07

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Solution

The fourth proportional to 194,851, 292,285.01 and 61,741.07 is: 92,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,851 : 292,285.01 = 61,741.07 : x
  2. Step 2: Convert to fraction form
    194,851/292,285.01 = 61,741.07/x
  3. Step 3: Cross multiply
    194,851x = 292,285.01 × 61,741.07
  4. Step 4: Simplify right side
    194,851x = 18,045,989,262.36
  5. Step 5: Solve for x
    x = 18,045,989,262.36/194,851
  6. Step 6: Final answer
    x = 92,614.30

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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.