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Finding the Fourth Proportional to 277,595.60, 416,138.26 and 100,059.16

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Solution

The fourth proportional to 277,595.60, 416,138.26 and 100,059.16 is: 149,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,595.60 : 416,138.26 = 100,059.16 : x
  2. Step 2: Convert to fraction form
    277,595.60/416,138.26 = 100,059.16/x
  3. Step 3: Cross multiply
    277,595.60x = 416,138.26 × 100,059.16
  4. Step 4: Simplify right side
    277,595.60x = 41,638,444,739.46
  5. Step 5: Solve for x
    x = 41,638,444,739.46/277,595.60
  6. Step 6: Final answer
    x = 149,996.77

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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.