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Finding the Fourth Proportional to 213,661.85, 320,528.41 and 95,328.74

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Solution

The fourth proportional to 213,661.85, 320,528.41 and 95,328.74 is: 143,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,661.85 : 320,528.41 = 95,328.74 : x
  2. Step 2: Convert to fraction form
    213,661.85/320,528.41 = 95,328.74/x
  3. Step 3: Cross multiply
    213,661.85x = 320,528.41 × 95,328.74
  4. Step 4: Simplify right side
    213,661.85x = 30,555,570,022.50
  5. Step 5: Solve for x
    x = 30,555,570,022.50/213,661.85
  6. Step 6: Final answer
    x = 143,009.02

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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.