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Finding the Fourth Proportional to 277,497.52, 416,199.33 and 77,771.95

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Solution

The fourth proportional to 277,497.52, 416,199.33 and 77,771.95 is: 116,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,497.52 : 416,199.33 = 77,771.95 : x
  2. Step 2: Convert to fraction form
    277,497.52/416,199.33 = 77,771.95/x
  3. Step 3: Cross multiply
    277,497.52x = 416,199.33 × 77,771.95
  4. Step 4: Simplify right side
    277,497.52x = 32,368,633,482.79
  5. Step 5: Solve for x
    x = 32,368,633,482.79/277,497.52
  6. Step 6: Final answer
    x = 116,644.77

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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.