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Finding the Fourth Proportional to 180,410.10, 248,966.42 and 99,843.18

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Solution

The fourth proportional to 180,410.10, 248,966.42 and 99,843.18 is: 137,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,410.10 : 248,966.42 = 99,843.18 : x
  2. Step 2: Convert to fraction form
    180,410.10/248,966.42 = 99,843.18/x
  3. Step 3: Cross multiply
    180,410.10x = 248,966.42 × 99,843.18
  4. Step 4: Simplify right side
    180,410.10x = 24,857,598,338.80
  5. Step 5: Solve for x
    x = 24,857,598,338.80/180,410.10
  6. Step 6: Final answer
    x = 137,783.85

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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.