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Finding the Fourth Proportional to 277,586.60, 416,124.76 and 100,050.16

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Solution

The fourth proportional to 277,586.60, 416,124.76 and 100,050.16 is: 149,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,586.60 : 416,124.76 = 100,050.16 : x
  2. Step 2: Convert to fraction form
    277,586.60/416,124.76 = 100,050.16/x
  3. Step 3: Cross multiply
    277,586.60x = 416,124.76 × 100,050.16
  4. Step 4: Simplify right side
    277,586.60x = 41,633,348,817.96
  5. Step 5: Solve for x
    x = 41,633,348,817.96/277,586.60
  6. Step 6: Final answer
    x = 149,983.28

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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.