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Finding the Fourth Proportional to 149,176.56, 205,863.66 and 81,193.80

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Solution

The fourth proportional to 149,176.56, 205,863.66 and 81,193.80 is: 112,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,176.56 : 205,863.66 = 81,193.80 : x
  2. Step 2: Convert to fraction form
    149,176.56/205,863.66 = 81,193.80/x
  3. Step 3: Cross multiply
    149,176.56x = 205,863.66 × 81,193.80
  4. Step 4: Simplify right side
    149,176.56x = 16,714,852,837.31
  5. Step 5: Solve for x
    x = 16,714,852,837.31/149,176.56
  6. Step 6: Final answer
    x = 112,047.45

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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.