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Finding the Fourth Proportional to 144,851.44, 217,609.80 and 102,254.80

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Solution

The fourth proportional to 144,851.44, 217,609.80 and 102,254.80 is: 153,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,851.44 : 217,609.80 = 102,254.80 : x
  2. Step 2: Convert to fraction form
    144,851.44/217,609.80 = 102,254.80/x
  3. Step 3: Cross multiply
    144,851.44x = 217,609.80 × 102,254.80
  4. Step 4: Simplify right side
    144,851.44x = 22,251,646,577.04
  5. Step 5: Solve for x
    x = 22,251,646,577.04/144,851.44
  6. Step 6: Final answer
    x = 153,617.02

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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.