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Finding the Fourth Proportional to 253,785.53, 380,530.74 and 96,026.15

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Solution

The fourth proportional to 253,785.53, 380,530.74 and 96,026.15 is: 143,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,785.53 : 380,530.74 = 96,026.15 : x
  2. Step 2: Convert to fraction form
    253,785.53/380,530.74 = 96,026.15/x
  3. Step 3: Cross multiply
    253,785.53x = 380,530.74 × 96,026.15
  4. Step 4: Simplify right side
    253,785.53x = 36,540,903,230.28
  5. Step 5: Solve for x
    x = 36,540,903,230.28/253,785.53
  6. Step 6: Final answer
    x = 143,983.40

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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.