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Finding the Fourth Proportional to 285,234.68, 427,846.26 and 98,242.04

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Solution

The fourth proportional to 285,234.68, 427,846.26 and 98,242.04 is: 147,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,234.68 : 427,846.26 = 98,242.04 : x
  2. Step 2: Convert to fraction form
    285,234.68/427,846.26 = 98,242.04/x
  3. Step 3: Cross multiply
    285,234.68x = 427,846.26 × 98,242.04
  4. Step 4: Simplify right side
    285,234.68x = 42,032,489,388.77
  5. Step 5: Solve for x
    x = 42,032,489,388.77/285,234.68
  6. Step 6: Final answer
    x = 147,361.08

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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.