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Finding the Fourth Proportional to 156,465.97, 215,924.39 and 84,846.00

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Solution

The fourth proportional to 156,465.97, 215,924.39 and 84,846.00 is: 117,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,465.97 : 215,924.39 = 84,846.00 : x
  2. Step 2: Convert to fraction form
    156,465.97/215,924.39 = 84,846.00/x
  3. Step 3: Cross multiply
    156,465.97x = 215,924.39 × 84,846.00
  4. Step 4: Simplify right side
    156,465.97x = 18,320,320,760.28
  5. Step 5: Solve for x
    x = 18,320,320,760.28/156,465.97
  6. Step 6: Final answer
    x = 117,088.21

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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.