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Finding the Fourth Proportional to 164,551.30, 230,896.70 and 164,551.30

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Solution

The fourth proportional to 164,551.30, 230,896.70 and 164,551.30 is: 230,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,551.30 : 230,896.70 = 164,551.30 : x
  2. Step 2: Convert to fraction form
    164,551.30/230,896.70 = 164,551.30/x
  3. Step 3: Cross multiply
    164,551.30x = 230,896.70 × 164,551.30
  4. Step 4: Simplify right side
    164,551.30x = 37,994,352,150.71
  5. Step 5: Solve for x
    x = 37,994,352,150.71/164,551.30
  6. Step 6: Final answer
    x = 230,896.70

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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.