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Finding the Fourth Proportional to 214,556.45, 295,882.13 and 128,501.64

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Solution

The fourth proportional to 214,556.45, 295,882.13 and 128,501.64 is: 177,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,556.45 : 295,882.13 = 128,501.64 : x
  2. Step 2: Convert to fraction form
    214,556.45/295,882.13 = 128,501.64/x
  3. Step 3: Cross multiply
    214,556.45x = 295,882.13 × 128,501.64
  4. Step 4: Simplify right side
    214,556.45x = 38,021,339,272.95
  5. Step 5: Solve for x
    x = 38,021,339,272.95/214,556.45
  6. Step 6: Final answer
    x = 177,209.03

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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.