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Finding the Fourth Proportional to 207,678.60, 311,295.42 and 148,334.22

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Solution

The fourth proportional to 207,678.60, 311,295.42 and 148,334.22 is: 222,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,678.60 : 311,295.42 = 148,334.22 : x
  2. Step 2: Convert to fraction form
    207,678.60/311,295.42 = 148,334.22/x
  3. Step 3: Cross multiply
    207,678.60x = 311,295.42 × 148,334.22
  4. Step 4: Simplify right side
    207,678.60x = 46,175,763,315.27
  5. Step 5: Solve for x
    x = 46,175,763,315.27/207,678.60
  6. Step 6: Final answer
    x = 222,342.42

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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.