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Finding the Fourth Proportional to 392,103.94, 588,109.14 and 107,823.36

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Solution

The fourth proportional to 392,103.94, 588,109.14 and 107,823.36 is: 161,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,103.94 : 588,109.14 = 107,823.36 : x
  2. Step 2: Convert to fraction form
    392,103.94/588,109.14 = 107,823.36/x
  3. Step 3: Cross multiply
    392,103.94x = 588,109.14 × 107,823.36
  4. Step 4: Simplify right side
    392,103.94x = 63,411,903,521.51
  5. Step 5: Solve for x
    x = 63,411,903,521.51/392,103.94
  6. Step 6: Final answer
    x = 161,722.18

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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.