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Finding the Fourth Proportional to 277,764.88, 416,090.04 and 127,796.24

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Solution

The fourth proportional to 277,764.88, 416,090.04 and 127,796.24 is: 191,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,764.88 : 416,090.04 = 127,796.24 : x
  2. Step 2: Convert to fraction form
    277,764.88/416,090.04 = 127,796.24/x
  3. Step 3: Cross multiply
    277,764.88x = 416,090.04 × 127,796.24
  4. Step 4: Simplify right side
    277,764.88x = 53,174,742,613.45
  5. Step 5: Solve for x
    x = 53,174,742,613.45/277,764.88
  6. Step 6: Final answer
    x = 191,437.96

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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.