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Finding the Fourth Proportional to 277,434.75, 416,176.71 and 77,757.54

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Solution

The fourth proportional to 277,434.75, 416,176.71 and 77,757.54 is: 116,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,434.75 : 416,176.71 = 77,757.54 : x
  2. Step 2: Convert to fraction form
    277,434.75/416,176.71 = 77,757.54/x
  3. Step 3: Cross multiply
    277,434.75x = 416,176.71 × 77,757.54
  4. Step 4: Simplify right side
    277,434.75x = 32,360,877,174.89
  5. Step 5: Solve for x
    x = 32,360,877,174.89/277,434.75
  6. Step 6: Final answer
    x = 116,643.20

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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.