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Finding the Fourth Proportional to 202,097.22, 278,889.54 and 111,450.60

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Solution

The fourth proportional to 202,097.22, 278,889.54 and 111,450.60 is: 153,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097.22 : 278,889.54 = 111,450.60 : x
  2. Step 2: Convert to fraction form
    202,097.22/278,889.54 = 111,450.60/x
  3. Step 3: Cross multiply
    202,097.22x = 278,889.54 × 111,450.60
  4. Step 4: Simplify right side
    202,097.22x = 31,082,406,566.72
  5. Step 5: Solve for x
    x = 31,082,406,566.72/202,097.22
  6. Step 6: Final answer
    x = 153,799.28

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1.5x scale

Why These Related Problems?

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