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Finding the Fourth Proportional to 245,141.60, 367,668.56 and 65,228

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Solution

The fourth proportional to 245,141.60, 367,668.56 and 65,228 is: 97,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,141.60 : 367,668.56 = 65,228 : x
  2. Step 2: Convert to fraction form
    245,141.60/367,668.56 = 65,228/x
  3. Step 3: Cross multiply
    245,141.60x = 367,668.56 × 65,228
  4. Step 4: Simplify right side
    245,141.60x = 23,982,284,831.68
  5. Step 5: Solve for x
    x = 23,982,284,831.68/245,141.60
  6. Step 6: Final answer
    x = 97,830.33

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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.