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Finding the Fourth Proportional to 164,525.40, 229,869 and 164,525.40

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Solution

The fourth proportional to 164,525.40, 229,869 and 164,525.40 is: 229,869

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,525.40 : 229,869 = 164,525.40 : x
  2. Step 2: Convert to fraction form
    164,525.40/229,869 = 164,525.40/x
  3. Step 3: Cross multiply
    164,525.40x = 229,869 × 164,525.40
  4. Step 4: Simplify right side
    164,525.40x = 37,819,289,172.60
  5. Step 5: Solve for x
    x = 37,819,289,172.60/164,525.40
  6. Step 6: Final answer
    x = 229,869

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1.5x scale

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.