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Finding the Fourth Proportional to 210,058.08, 315,085.50 and 52,285.48

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Solution

The fourth proportional to 210,058.08, 315,085.50 and 52,285.48 is: 78,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,058.08 : 315,085.50 = 52,285.48 : x
  2. Step 2: Convert to fraction form
    210,058.08/315,085.50 = 52,285.48/x
  3. Step 3: Cross multiply
    210,058.08x = 315,085.50 × 52,285.48
  4. Step 4: Simplify right side
    210,058.08x = 16,474,396,608.54
  5. Step 5: Solve for x
    x = 16,474,396,608.54/210,058.08
  6. Step 6: Final answer
    x = 78,427.82

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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.