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Finding the Fourth Proportional to 146,821.70, 205,965.10 and 146,821.70

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Solution

The fourth proportional to 146,821.70, 205,965.10 and 146,821.70 is: 205,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,821.70 : 205,965.10 = 146,821.70 : x
  2. Step 2: Convert to fraction form
    146,821.70/205,965.10 = 146,821.70/x
  3. Step 3: Cross multiply
    146,821.70x = 205,965.10 × 146,821.70
  4. Step 4: Simplify right side
    146,821.70x = 30,240,146,122.67
  5. Step 5: Solve for x
    x = 30,240,146,122.67/146,821.70
  6. Step 6: Final answer
    x = 205,965.10

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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.