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Finding the Fourth Proportional to 229,660.50, 316,993.84 and 149,083.32

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Solution

The fourth proportional to 229,660.50, 316,993.84 and 149,083.32 is: 205,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,660.50 : 316,993.84 = 149,083.32 : x
  2. Step 2: Convert to fraction form
    229,660.50/316,993.84 = 149,083.32/x
  3. Step 3: Cross multiply
    229,660.50x = 316,993.84 × 149,083.32
  4. Step 4: Simplify right side
    229,660.50x = 47,258,494,086.75
  5. Step 5: Solve for x
    x = 47,258,494,086.75/229,660.50
  6. Step 6: Final answer
    x = 205,775.46

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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.