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Finding the Fourth Proportional to 216,409.22, 326,090.98 and 177,830.54

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Solution

The fourth proportional to 216,409.22, 326,090.98 and 177,830.54 is: 267,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,409.22 : 326,090.98 = 177,830.54 : x
  2. Step 2: Convert to fraction form
    216,409.22/326,090.98 = 177,830.54/x
  3. Step 3: Cross multiply
    216,409.22x = 326,090.98 × 177,830.54
  4. Step 4: Simplify right side
    216,409.22x = 57,988,932,987.50
  5. Step 5: Solve for x
    x = 57,988,932,987.50/216,409.22
  6. Step 6: Final answer
    x = 267,959.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.