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Finding the Fourth Proportional to 174,341, 261,550.38 and 63,533

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Solution

The fourth proportional to 174,341, 261,550.38 and 63,533 is: 95,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,341 : 261,550.38 = 63,533 : x
  2. Step 2: Convert to fraction form
    174,341/261,550.38 = 63,533/x
  3. Step 3: Cross multiply
    174,341x = 261,550.38 × 63,533
  4. Step 4: Simplify right side
    174,341x = 16,617,080,292.54
  5. Step 5: Solve for x
    x = 16,617,080,292.54/174,341
  6. Step 6: Final answer
    x = 95,313.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.