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Finding the Fourth Proportional to 152,056.01, 209,828.31 and 84,067.64

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Solution

The fourth proportional to 152,056.01, 209,828.31 and 84,067.64 is: 116,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,056.01 : 209,828.31 = 84,067.64 : x
  2. Step 2: Convert to fraction form
    152,056.01/209,828.31 = 84,067.64/x
  3. Step 3: Cross multiply
    152,056.01x = 209,828.31 × 84,067.64
  4. Step 4: Simplify right side
    152,056.01x = 17,639,770,406.55
  5. Step 5: Solve for x
    x = 17,639,770,406.55/152,056.01
  6. Step 6: Final answer
    x = 116,008.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.