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Finding the Fourth Proportional to 188,920.80, 283,803.60 and 157,816.80

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Solution

The fourth proportional to 188,920.80, 283,803.60 and 157,816.80 is: 237,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,920.80 : 283,803.60 = 157,816.80 : x
  2. Step 2: Convert to fraction form
    188,920.80/283,803.60 = 157,816.80/x
  3. Step 3: Cross multiply
    188,920.80x = 283,803.60 × 157,816.80
  4. Step 4: Simplify right side
    188,920.80x = 44,788,975,980.48
  5. Step 5: Solve for x
    x = 44,788,975,980.48/188,920.80
  6. Step 6: Final answer
    x = 237,078.06

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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.