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Finding the Fourth Proportional to 224,008.30, 335,895.80 and 105,647.86

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Solution

The fourth proportional to 224,008.30, 335,895.80 and 105,647.86 is: 158,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,008.30 : 335,895.80 = 105,647.86 : x
  2. Step 2: Convert to fraction form
    224,008.30/335,895.80 = 105,647.86/x
  3. Step 3: Cross multiply
    224,008.30x = 335,895.80 × 105,647.86
  4. Step 4: Simplify right side
    224,008.30x = 35,486,672,452.99
  5. Step 5: Solve for x
    x = 35,486,672,452.99/224,008.30
  6. Step 6: Final answer
    x = 158,416.77

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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.