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Finding the Fourth Proportional to 202,058.52, 302,999.95 and 57,932.60

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Solution

The fourth proportional to 202,058.52, 302,999.95 and 57,932.60 is: 86,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,058.52 : 302,999.95 = 57,932.60 : x
  2. Step 2: Convert to fraction form
    202,058.52/302,999.95 = 57,932.60/x
  3. Step 3: Cross multiply
    202,058.52x = 302,999.95 × 57,932.60
  4. Step 4: Simplify right side
    202,058.52x = 17,553,574,240.88
  5. Step 5: Solve for x
    x = 17,553,574,240.88/202,058.52
  6. Step 6: Final answer
    x = 86,873.72

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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.