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Finding the Fourth Proportional to 144,202.44, 216,328.56 and 64,268.82

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Solution

The fourth proportional to 144,202.44, 216,328.56 and 64,268.82 is: 96,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,202.44 : 216,328.56 = 64,268.82 : x
  2. Step 2: Convert to fraction form
    144,202.44/216,328.56 = 64,268.82/x
  3. Step 3: Cross multiply
    144,202.44x = 216,328.56 × 64,268.82
  4. Step 4: Simplify right side
    144,202.44x = 13,903,181,283.50
  5. Step 5: Solve for x
    x = 13,903,181,283.50/144,202.44
  6. Step 6: Final answer
    x = 96,414.33

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1.5x scale

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.