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Finding the Fourth Proportional to 153,697, 212,101.86 and 83,041

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Solution

The fourth proportional to 153,697, 212,101.86 and 83,041 is: 114,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,697 : 212,101.86 = 83,041 : x
  2. Step 2: Convert to fraction form
    153,697/212,101.86 = 83,041/x
  3. Step 3: Cross multiply
    153,697x = 212,101.86 × 83,041
  4. Step 4: Simplify right side
    153,697x = 17,613,150,556.26
  5. Step 5: Solve for x
    x = 17,613,150,556.26/153,697
  6. Step 6: Final answer
    x = 114,596.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.