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Finding the Fourth Proportional to 149,864.65, 206,810.80 and 81,880.16

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Solution

The fourth proportional to 149,864.65, 206,810.80 and 81,880.16 is: 112,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,864.65 : 206,810.80 = 81,880.16 : x
  2. Step 2: Convert to fraction form
    149,864.65/206,810.80 = 81,880.16/x
  3. Step 3: Cross multiply
    149,864.65x = 206,810.80 × 81,880.16
  4. Step 4: Simplify right side
    149,864.65x = 16,933,701,393.73
  5. Step 5: Solve for x
    x = 16,933,701,393.73/149,864.65
  6. Step 6: Final answer
    x = 112,993.30

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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.