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Finding the Fourth Proportional to 256,123.86, 353,122.37 and 210,013.62

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Solution

The fourth proportional to 256,123.86, 353,122.37 and 210,013.62 is: 289,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,123.86 : 353,122.37 = 210,013.62 : x
  2. Step 2: Convert to fraction form
    256,123.86/353,122.37 = 210,013.62/x
  3. Step 3: Cross multiply
    256,123.86x = 353,122.37 × 210,013.62
  4. Step 4: Simplify right side
    256,123.86x = 74,160,507,226.68
  5. Step 5: Solve for x
    x = 74,160,507,226.68/256,123.86
  6. Step 6: Final answer
    x = 289,549.39

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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.