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Finding the Fourth Proportional to 164,555.80, 230,903 and 164,555.80

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Solution

The fourth proportional to 164,555.80, 230,903 and 164,555.80 is: 230,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,555.80 : 230,903 = 164,555.80 : x
  2. Step 2: Convert to fraction form
    164,555.80/230,903 = 164,555.80/x
  3. Step 3: Cross multiply
    164,555.80x = 230,903 × 164,555.80
  4. Step 4: Simplify right side
    164,555.80x = 37,996,427,887.40
  5. Step 5: Solve for x
    x = 37,996,427,887.40/164,555.80
  6. Step 6: Final answer
    x = 230,903.00

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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.