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Finding the Fourth Proportional to 230,810.90, 345,305.34 and 174,812.36

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Solution

The fourth proportional to 230,810.90, 345,305.34 and 174,812.36 is: 261,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,810.90 : 345,305.34 = 174,812.36 : x
  2. Step 2: Convert to fraction form
    230,810.90/345,305.34 = 174,812.36/x
  3. Step 3: Cross multiply
    230,810.90x = 345,305.34 × 174,812.36
  4. Step 4: Simplify right side
    230,810.90x = 60,363,641,406.00
  5. Step 5: Solve for x
    x = 60,363,641,406.00/230,810.90
  6. Step 6: Final answer
    x = 261,528.56

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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.