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Finding the Fourth Proportional to 174,772, 261,594.10 and 90,415.99

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Solution

The fourth proportional to 174,772, 261,594.10 and 90,415.99 is: 135,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,772 : 261,594.10 = 90,415.99 : x
  2. Step 2: Convert to fraction form
    174,772/261,594.10 = 90,415.99/x
  3. Step 3: Cross multiply
    174,772x = 261,594.10 × 90,415.99
  4. Step 4: Simplify right side
    174,772x = 23,652,289,529.66
  5. Step 5: Solve for x
    x = 23,652,289,529.66/174,772
  6. Step 6: Final answer
    x = 135,332.26

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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.