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Finding the Fourth Proportional to 231,955.91, 347,343.11 and 152,830.31

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Solution

The fourth proportional to 231,955.91, 347,343.11 and 152,830.31 is: 228,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,955.91 : 347,343.11 = 152,830.31 : x
  2. Step 2: Convert to fraction form
    231,955.91/347,343.11 = 152,830.31/x
  3. Step 3: Cross multiply
    231,955.91x = 347,343.11 × 152,830.31
  4. Step 4: Simplify right side
    231,955.91x = 53,084,554,413.51
  5. Step 5: Solve for x
    x = 53,084,554,413.51/231,955.91
  6. Step 6: Final answer
    x = 228,856.23

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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.