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Finding the Fourth Proportional to 213,586.16, 320,877.48 and 124,902.09

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Solution

The fourth proportional to 213,586.16, 320,877.48 and 124,902.09 is: 187,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,586.16 : 320,877.48 = 124,902.09 : x
  2. Step 2: Convert to fraction form
    213,586.16/320,877.48 = 124,902.09/x
  3. Step 3: Cross multiply
    213,586.16x = 320,877.48 × 124,902.09
  4. Step 4: Simplify right side
    213,586.16x = 40,078,267,885.93
  5. Step 5: Solve for x
    x = 40,078,267,885.93/213,586.16
  6. Step 6: Final answer
    x = 187,644.50

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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.