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Finding the Fourth Proportional to 202,777.64, 304,062.14 and 118,556.36

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Solution

The fourth proportional to 202,777.64, 304,062.14 and 118,556.36 is: 177,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,777.64 : 304,062.14 = 118,556.36 : x
  2. Step 2: Convert to fraction form
    202,777.64/304,062.14 = 118,556.36/x
  3. Step 3: Cross multiply
    202,777.64x = 304,062.14 × 118,556.36
  4. Step 4: Simplify right side
    202,777.64x = 36,048,500,532.21
  5. Step 5: Solve for x
    x = 36,048,500,532.21/202,777.64
  6. Step 6: Final answer
    x = 177,773.55

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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.