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Finding the Fourth Proportional to 277,752, 416,541.60 and 100,235.76

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Solution

The fourth proportional to 277,752, 416,541.60 and 100,235.76 is: 150,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,752 : 416,541.60 = 100,235.76 : x
  2. Step 2: Convert to fraction form
    277,752/416,541.60 = 100,235.76/x
  3. Step 3: Cross multiply
    277,752x = 416,541.60 × 100,235.76
  4. Step 4: Simplify right side
    277,752x = 41,752,363,847.62
  5. Step 5: Solve for x
    x = 41,752,363,847.62/277,752
  6. Step 6: Final answer
    x = 150,322.46

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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.