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Finding the Fourth Proportional to 165,287.25, 228,096.41 and 98,219.25

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Solution

The fourth proportional to 165,287.25, 228,096.41 and 98,219.25 is: 135,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,287.25 : 228,096.41 = 98,219.25 : x
  2. Step 2: Convert to fraction form
    165,287.25/228,096.41 = 98,219.25/x
  3. Step 3: Cross multiply
    165,287.25x = 228,096.41 × 98,219.25
  4. Step 4: Simplify right side
    165,287.25x = 22,403,457,826.80
  5. Step 5: Solve for x
    x = 22,403,457,826.80/165,287.25
  6. Step 6: Final answer
    x = 135,542.57

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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.