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Finding the Fourth Proportional to 164,539.10, 230,821.30 and 164,539.10

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Solution

The fourth proportional to 164,539.10, 230,821.30 and 164,539.10 is: 230,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,539.10 : 230,821.30 = 164,539.10 : x
  2. Step 2: Convert to fraction form
    164,539.10/230,821.30 = 164,539.10/x
  3. Step 3: Cross multiply
    164,539.10x = 230,821.30 × 164,539.10
  4. Step 4: Simplify right side
    164,539.10x = 37,979,128,962.83
  5. Step 5: Solve for x
    x = 37,979,128,962.83/164,539.10
  6. Step 6: Final answer
    x = 230,821.30

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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.