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Finding the Fourth Proportional to 209,731.20, 314,596.80 and 188,995.20

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Solution

The fourth proportional to 209,731.20, 314,596.80 and 188,995.20 is: 283,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,731.20 : 314,596.80 = 188,995.20 : x
  2. Step 2: Convert to fraction form
    209,731.20/314,596.80 = 188,995.20/x
  3. Step 3: Cross multiply
    209,731.20x = 314,596.80 × 188,995.20
  4. Step 4: Simplify right side
    209,731.20x = 59,457,285,135.36
  5. Step 5: Solve for x
    x = 59,457,285,135.36/209,731.20
  6. Step 6: Final answer
    x = 283,492.80

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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.