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Finding the Fourth Proportional to 277,390.89, 416,089.04 and 99,773.69

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Solution

The fourth proportional to 277,390.89, 416,089.04 and 99,773.69 is: 149,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,390.89 : 416,089.04 = 99,773.69 : x
  2. Step 2: Convert to fraction form
    277,390.89/416,089.04 = 99,773.69/x
  3. Step 3: Cross multiply
    277,390.89x = 416,089.04 × 99,773.69
  4. Step 4: Simplify right side
    277,390.89x = 41,514,736,310.04
  5. Step 5: Solve for x
    x = 41,514,736,310.04/277,390.89
  6. Step 6: Final answer
    x = 149,661.50

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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.