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Finding the Fourth Proportional to 307,963.19, 461,945.86 and 94,729.66

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Solution

The fourth proportional to 307,963.19, 461,945.86 and 94,729.66 is: 142,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,963.19 : 461,945.86 = 94,729.66 : x
  2. Step 2: Convert to fraction form
    307,963.19/461,945.86 = 94,729.66/x
  3. Step 3: Cross multiply
    307,963.19x = 461,945.86 × 94,729.66
  4. Step 4: Simplify right side
    307,963.19x = 43,759,972,864.52
  5. Step 5: Solve for x
    x = 43,759,972,864.52/307,963.19
  6. Step 6: Final answer
    x = 142,094.81

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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.