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Finding the Fourth Proportional to 164,057.20, 229,835.60 and 164,057.20

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Solution

The fourth proportional to 164,057.20, 229,835.60 and 164,057.20 is: 229,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,057.20 : 229,835.60 = 164,057.20 : x
  2. Step 2: Convert to fraction form
    164,057.20/229,835.60 = 164,057.20/x
  3. Step 3: Cross multiply
    164,057.20x = 229,835.60 × 164,057.20
  4. Step 4: Simplify right side
    164,057.20x = 37,706,184,996.32
  5. Step 5: Solve for x
    x = 37,706,184,996.32/164,057.20
  6. Step 6: Final answer
    x = 229,835.60

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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.