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Finding the Fourth Proportional to 159,893.41, 239,798.32 and 47,543.38

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Solution

The fourth proportional to 159,893.41, 239,798.32 and 47,543.38 is: 71,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,893.41 : 239,798.32 = 47,543.38 : x
  2. Step 2: Convert to fraction form
    159,893.41/239,798.32 = 47,543.38/x
  3. Step 3: Cross multiply
    159,893.41x = 239,798.32 × 47,543.38
  4. Step 4: Simplify right side
    159,893.41x = 11,400,822,651.12
  5. Step 5: Solve for x
    x = 11,400,822,651.12/159,893.41
  6. Step 6: Final answer
    x = 71,302.64

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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.