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Finding the Fourth Proportional to 277,590.84, 383,072 and 156,737.22

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Solution

The fourth proportional to 277,590.84, 383,072 and 156,737.22 is: 216,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,590.84 : 383,072 = 156,737.22 : x
  2. Step 2: Convert to fraction form
    277,590.84/383,072 = 156,737.22/x
  3. Step 3: Cross multiply
    277,590.84x = 383,072 × 156,737.22
  4. Step 4: Simplify right side
    277,590.84x = 60,041,640,339.84
  5. Step 5: Solve for x
    x = 60,041,640,339.84/277,590.84
  6. Step 6: Final answer
    x = 216,295.47

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Why These Related Problems?

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