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Finding the Fourth Proportional to 277,738.09, 383,309.74 and 156,887.16

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Solution

The fourth proportional to 277,738.09, 383,309.74 and 156,887.16 is: 216,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738.09 : 383,309.74 = 156,887.16 : x
  2. Step 2: Convert to fraction form
    277,738.09/383,309.74 = 156,887.16/x
  3. Step 3: Cross multiply
    277,738.09x = 383,309.74 × 156,887.16
  4. Step 4: Simplify right side
    277,738.09x = 60,136,376,508.94
  5. Step 5: Solve for x
    x = 60,136,376,508.94/277,738.09
  6. Step 6: Final answer
    x = 216,521.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.