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Finding the Fourth Proportional to 270,538.60, 405,846.30 and 83,530.60

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Solution

The fourth proportional to 270,538.60, 405,846.30 and 83,530.60 is: 125,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,538.60 : 405,846.30 = 83,530.60 : x
  2. Step 2: Convert to fraction form
    270,538.60/405,846.30 = 83,530.60/x
  3. Step 3: Cross multiply
    270,538.60x = 405,846.30 × 83,530.60
  4. Step 4: Simplify right side
    270,538.60x = 33,900,584,946.78
  5. Step 5: Solve for x
    x = 33,900,584,946.78/270,538.60
  6. Step 6: Final answer
    x = 125,307.76

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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.