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Finding the Fourth Proportional to 241,474.64, 362,129.94 and 83,666.26

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Solution

The fourth proportional to 241,474.64, 362,129.94 and 83,666.26 is: 125,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,474.64 : 362,129.94 = 83,666.26 : x
  2. Step 2: Convert to fraction form
    241,474.64/362,129.94 = 83,666.26/x
  3. Step 3: Cross multiply
    241,474.64x = 362,129.94 × 83,666.26
  4. Step 4: Simplify right side
    241,474.64x = 30,298,057,713.82
  5. Step 5: Solve for x
    x = 30,298,057,713.82/241,474.64
  6. Step 6: Final answer
    x = 125,470.97

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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.