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Finding the Fourth Proportional to 159,181.61, 238,690.23 and 46,847.23

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Solution

The fourth proportional to 159,181.61, 238,690.23 and 46,847.23 is: 70,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,181.61 : 238,690.23 = 46,847.23 : x
  2. Step 2: Convert to fraction form
    159,181.61/238,690.23 = 46,847.23/x
  3. Step 3: Cross multiply
    159,181.61x = 238,690.23 × 46,847.23
  4. Step 4: Simplify right side
    159,181.61x = 11,181,975,331.16
  5. Step 5: Solve for x
    x = 11,181,975,331.16/159,181.61
  6. Step 6: Final answer
    x = 70,246.66

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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.