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Finding the Fourth Proportional to 233,179.88, 321,813.06 and 142,588.76

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Solution

The fourth proportional to 233,179.88, 321,813.06 and 142,588.76 is: 196,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,179.88 : 321,813.06 = 142,588.76 : x
  2. Step 2: Convert to fraction form
    233,179.88/321,813.06 = 142,588.76/x
  3. Step 3: Cross multiply
    233,179.88x = 321,813.06 × 142,588.76
  4. Step 4: Simplify right side
    233,179.88x = 45,886,925,177.21
  5. Step 5: Solve for x
    x = 45,886,925,177.21/233,179.88
  6. Step 6: Final answer
    x = 196,787.67

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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.