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Finding the Fourth Proportional to 277,346.16, 416,081.57 and 87,817.86

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Solution

The fourth proportional to 277,346.16, 416,081.57 and 87,817.86 is: 131,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,346.16 : 416,081.57 = 87,817.86 : x
  2. Step 2: Convert to fraction form
    277,346.16/416,081.57 = 87,817.86/x
  3. Step 3: Cross multiply
    277,346.16x = 416,081.57 × 87,817.86
  4. Step 4: Simplify right side
    277,346.16x = 36,539,392,623.75
  5. Step 5: Solve for x
    x = 36,539,392,623.75/277,346.16
  6. Step 6: Final answer
    x = 131,746.52

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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.