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Finding the Fourth Proportional to 277,461.80, 416,245.16 and 87,969.86

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Solution

The fourth proportional to 277,461.80, 416,245.16 and 87,969.86 is: 131,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,461.80 : 416,245.16 = 87,969.86 : x
  2. Step 2: Convert to fraction form
    277,461.80/416,245.16 = 87,969.86/x
  3. Step 3: Cross multiply
    277,461.80x = 416,245.16 × 87,969.86
  4. Step 4: Simplify right side
    277,461.80x = 36,617,026,589.58
  5. Step 5: Solve for x
    x = 36,617,026,589.58/277,461.80
  6. Step 6: Final answer
    x = 131,971.42

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1.5x scale

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.