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Finding the Fourth Proportional to 152,210.40, 228,380.40 and 96,093.60

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Solution

The fourth proportional to 152,210.40, 228,380.40 and 96,093.60 is: 144,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,210.40 : 228,380.40 = 96,093.60 : x
  2. Step 2: Convert to fraction form
    152,210.40/228,380.40 = 96,093.60/x
  3. Step 3: Cross multiply
    152,210.40x = 228,380.40 × 96,093.60
  4. Step 4: Simplify right side
    152,210.40x = 21,945,894,805.44
  5. Step 5: Solve for x
    x = 21,945,894,805.44/152,210.40
  6. Step 6: Final answer
    x = 144,181.31

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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.