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Finding the Fourth Proportional to 163,400.40, 225,433.44 and 106,844.40

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Solution

The fourth proportional to 163,400.40, 225,433.44 and 106,844.40 is: 147,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,400.40 : 225,433.44 = 106,844.40 : x
  2. Step 2: Convert to fraction form
    163,400.40/225,433.44 = 106,844.40/x
  3. Step 3: Cross multiply
    163,400.40x = 225,433.44 × 106,844.40
  4. Step 4: Simplify right side
    163,400.40x = 24,086,300,636.74
  5. Step 5: Solve for x
    x = 24,086,300,636.74/163,400.40
  6. Step 6: Final answer
    x = 147,406.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.