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Finding the Fourth Proportional to 125,853.54, 188,667.99 and 46,971.42

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Solution

The fourth proportional to 125,853.54, 188,667.99 and 46,971.42 is: 70,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,853.54 : 188,667.99 = 46,971.42 : x
  2. Step 2: Convert to fraction form
    125,853.54/188,667.99 = 46,971.42/x
  3. Step 3: Cross multiply
    125,853.54x = 188,667.99 × 46,971.42
  4. Step 4: Simplify right side
    125,853.54x = 8,862,003,398.85
  5. Step 5: Solve for x
    x = 8,862,003,398.85/125,853.54
  6. Step 6: Final answer
    x = 70,415.21

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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.