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Finding the Fourth Proportional to 219,096.40, 328,774.20 and 159,782.80

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Solution

The fourth proportional to 219,096.40, 328,774.20 and 159,782.80 is: 239,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,096.40 : 328,774.20 = 159,782.80 : x
  2. Step 2: Convert to fraction form
    219,096.40/328,774.20 = 159,782.80/x
  3. Step 3: Cross multiply
    219,096.40x = 328,774.20 × 159,782.80
  4. Step 4: Simplify right side
    219,096.40x = 52,532,462,243.76
  5. Step 5: Solve for x
    x = 52,532,462,243.76/219,096.40
  6. Step 6: Final answer
    x = 239,768.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.