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Finding the Fourth Proportional to 194,728.56, 292,128.88 and 61,642.32

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Solution

The fourth proportional to 194,728.56, 292,128.88 and 61,642.32 is: 92,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,728.56 : 292,128.88 = 61,642.32 : x
  2. Step 2: Convert to fraction form
    194,728.56/292,128.88 = 61,642.32/x
  3. Step 3: Cross multiply
    194,728.56x = 292,128.88 × 61,642.32
  4. Step 4: Simplify right side
    194,728.56x = 18,007,501,902.20
  5. Step 5: Solve for x
    x = 18,007,501,902.20/194,728.56
  6. Step 6: Final answer
    x = 92,474.89

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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.