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Finding the Fourth Proportional to 146,824.70, 205,969.30 and 146,824.70

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Solution

The fourth proportional to 146,824.70, 205,969.30 and 146,824.70 is: 205,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,824.70 : 205,969.30 = 146,824.70 : x
  2. Step 2: Convert to fraction form
    146,824.70/205,969.30 = 146,824.70/x
  3. Step 3: Cross multiply
    146,824.70x = 205,969.30 × 146,824.70
  4. Step 4: Simplify right side
    146,824.70x = 30,241,380,681.71
  5. Step 5: Solve for x
    x = 30,241,380,681.71/146,824.70
  6. Step 6: Final answer
    x = 205,969.30

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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.