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Finding the Fourth Proportional to 312,237.32, 468,372.56 and 99,022.03

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Solution

The fourth proportional to 312,237.32, 468,372.56 and 99,022.03 is: 148,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,237.32 : 468,372.56 = 99,022.03 : x
  2. Step 2: Convert to fraction form
    312,237.32/468,372.56 = 99,022.03/x
  3. Step 3: Cross multiply
    312,237.32x = 468,372.56 × 99,022.03
  4. Step 4: Simplify right side
    312,237.32x = 46,379,200,578.45
  5. Step 5: Solve for x
    x = 46,379,200,578.45/312,237.32
  6. Step 6: Final answer
    x = 148,538.30

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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.