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Finding the Fourth Proportional to 277,557.64, 416,289.10 and 100,029.32

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Solution

The fourth proportional to 277,557.64, 416,289.10 and 100,029.32 is: 150,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,557.64 : 416,289.10 = 100,029.32 : x
  2. Step 2: Convert to fraction form
    277,557.64/416,289.10 = 100,029.32/x
  3. Step 3: Cross multiply
    277,557.64x = 416,289.10 × 100,029.32
  4. Step 4: Simplify right side
    277,557.64x = 41,641,115,596.41
  5. Step 5: Solve for x
    x = 41,641,115,596.41/277,557.64
  6. Step 6: Final answer
    x = 150,026.91

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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.