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Finding the Fourth Proportional to 214,765.94, 322,123.89 and 57,006.65

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Solution

The fourth proportional to 214,765.94, 322,123.89 and 57,006.65 is: 85,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,765.94 : 322,123.89 = 57,006.65 : x
  2. Step 2: Convert to fraction form
    214,765.94/322,123.89 = 57,006.65/x
  3. Step 3: Cross multiply
    214,765.94x = 322,123.89 × 57,006.65
  4. Step 4: Simplify right side
    214,765.94x = 18,363,203,853.87
  5. Step 5: Solve for x
    x = 18,363,203,853.87/214,765.94
  6. Step 6: Final answer
    x = 85,503.33

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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.