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Finding the Fourth Proportional to 164,537.10, 230,818.50 and 164,537.10

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Solution

The fourth proportional to 164,537.10, 230,818.50 and 164,537.10 is: 230,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,537.10 : 230,818.50 = 164,537.10 : x
  2. Step 2: Convert to fraction form
    164,537.10/230,818.50 = 164,537.10/x
  3. Step 3: Cross multiply
    164,537.10x = 230,818.50 × 164,537.10
  4. Step 4: Simplify right side
    164,537.10x = 37,978,206,616.35
  5. Step 5: Solve for x
    x = 37,978,206,616.35/164,537.10
  6. Step 6: Final answer
    x = 230,818.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.