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Finding the Fourth Proportional to 277,345.91, 416,081.19 and 87,817.61

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Solution

The fourth proportional to 277,345.91, 416,081.19 and 87,817.61 is: 131,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,345.91 : 416,081.19 = 87,817.61 : x
  2. Step 2: Convert to fraction form
    277,345.91/416,081.19 = 87,817.61/x
  3. Step 3: Cross multiply
    277,345.91x = 416,081.19 × 87,817.61
  4. Step 4: Simplify right side
    277,345.91x = 36,539,255,671.76
  5. Step 5: Solve for x
    x = 36,539,255,671.76/277,345.91
  6. Step 6: Final answer
    x = 131,746.15

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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.