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Finding the Fourth Proportional to 392,095.94, 588,088.31 and 125,822.03

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Solution

The fourth proportional to 392,095.94, 588,088.31 and 125,822.03 is: 188,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,095.94 : 588,088.31 = 125,822.03 : x
  2. Step 2: Convert to fraction form
    392,095.94/588,088.31 = 125,822.03/x
  3. Step 3: Cross multiply
    392,095.94x = 588,088.31 × 125,822.03
  4. Step 4: Simplify right side
    392,095.94x = 73,994,461,413.92
  5. Step 5: Solve for x
    x = 73,994,461,413.92/392,095.94
  6. Step 6: Final answer
    x = 188,715.20

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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.