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Finding the Fourth Proportional to 270,279.40, 405,283.10 and 83,266.60

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Solution

The fourth proportional to 270,279.40, 405,283.10 and 83,266.60 is: 124,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,279.40 : 405,283.10 = 83,266.60 : x
  2. Step 2: Convert to fraction form
    270,279.40/405,283.10 = 83,266.60/x
  3. Step 3: Cross multiply
    270,279.40x = 405,283.10 × 83,266.60
  4. Step 4: Simplify right side
    270,279.40x = 33,746,545,774.46
  5. Step 5: Solve for x
    x = 33,746,545,774.46/270,279.40
  6. Step 6: Final answer
    x = 124,858.00

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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.