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Finding the Fourth Proportional to 392,102.94, 588,107.64 and 107,822.36

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Solution

The fourth proportional to 392,102.94, 588,107.64 and 107,822.36 is: 161,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,102.94 : 588,107.64 = 107,822.36 : x
  2. Step 2: Convert to fraction form
    392,102.94/588,107.64 = 107,822.36/x
  3. Step 3: Cross multiply
    392,102.94x = 588,107.64 × 107,822.36
  4. Step 4: Simplify right side
    392,102.94x = 63,411,153,678.83
  5. Step 5: Solve for x
    x = 63,411,153,678.83/392,102.94
  6. Step 6: Final answer
    x = 161,720.68

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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.