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Finding the Fourth Proportional to 224,008.18, 335,895.61 and 105,647.74

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Solution

The fourth proportional to 224,008.18, 335,895.61 and 105,647.74 is: 158,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,008.18 : 335,895.61 = 105,647.74 : x
  2. Step 2: Convert to fraction form
    224,008.18/335,895.61 = 105,647.74/x
  3. Step 3: Cross multiply
    224,008.18x = 335,895.61 × 105,647.74
  4. Step 4: Simplify right side
    224,008.18x = 35,486,612,072.42
  5. Step 5: Solve for x
    x = 35,486,612,072.42/224,008.18
  6. Step 6: Final answer
    x = 158,416.59

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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.