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Finding the Fourth Proportional to 146,823.20, 205,967.20 and 146,823.20

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Solution

The fourth proportional to 146,823.20, 205,967.20 and 146,823.20 is: 205,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,823.20 : 205,967.20 = 146,823.20 : x
  2. Step 2: Convert to fraction form
    146,823.20/205,967.20 = 146,823.20/x
  3. Step 3: Cross multiply
    146,823.20x = 205,967.20 × 146,823.20
  4. Step 4: Simplify right side
    146,823.20x = 30,240,763,399.04
  5. Step 5: Solve for x
    x = 30,240,763,399.04/146,823.20
  6. Step 6: Final answer
    x = 205,967.20

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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.