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Finding the Fourth Proportional to 219,212.82, 328,624.82 and 106,830.18

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Solution

The fourth proportional to 219,212.82, 328,624.82 and 106,830.18 is: 160,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,212.82 : 328,624.82 = 106,830.18 : x
  2. Step 2: Convert to fraction form
    219,212.82/328,624.82 = 106,830.18/x
  3. Step 3: Cross multiply
    219,212.82x = 328,624.82 × 106,830.18
  4. Step 4: Simplify right side
    219,212.82x = 35,107,048,673.07
  5. Step 5: Solve for x
    x = 35,107,048,673.07/219,212.82
  6. Step 6: Final answer
    x = 160,150.53

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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.