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Finding the Fourth Proportional to 205,548.40, 308,279.40 and 87,223.60

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Solution

The fourth proportional to 205,548.40, 308,279.40 and 87,223.60 is: 130,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,548.40 : 308,279.40 = 87,223.60 : x
  2. Step 2: Convert to fraction form
    205,548.40/308,279.40 = 87,223.60/x
  3. Step 3: Cross multiply
    205,548.40x = 308,279.40 × 87,223.60
  4. Step 4: Simplify right side
    205,548.40x = 26,889,239,073.84
  5. Step 5: Solve for x
    x = 26,889,239,073.84/205,548.40
  6. Step 6: Final answer
    x = 130,817.07

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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.