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Finding the Fourth Proportional to 231,364.71, 346,420.98 and 151,202.97

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Solution

The fourth proportional to 231,364.71, 346,420.98 and 151,202.97 is: 226,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,364.71 : 346,420.98 = 151,202.97 : x
  2. Step 2: Convert to fraction form
    231,364.71/346,420.98 = 151,202.97/x
  3. Step 3: Cross multiply
    231,364.71x = 346,420.98 × 151,202.97
  4. Step 4: Simplify right side
    231,364.71x = 52,379,881,046.31
  5. Step 5: Solve for x
    x = 52,379,881,046.31/231,364.71
  6. Step 6: Final answer
    x = 226,395.29

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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.