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Finding the Fourth Proportional to 201,851.56, 278,615.46 and 117,006.76

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Solution

The fourth proportional to 201,851.56, 278,615.46 and 117,006.76 is: 161,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,851.56 : 278,615.46 = 117,006.76 : x
  2. Step 2: Convert to fraction form
    201,851.56/278,615.46 = 117,006.76/x
  3. Step 3: Cross multiply
    201,851.56x = 278,615.46 × 117,006.76
  4. Step 4: Simplify right side
    201,851.56x = 32,599,892,260.51
  5. Step 5: Solve for x
    x = 32,599,892,260.51/201,851.56
  6. Step 6: Final answer
    x = 161,504.29

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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.