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Finding the Fourth Proportional to 212,909.89, 293,819.88 and 137,589.61

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Solution

The fourth proportional to 212,909.89, 293,819.88 and 137,589.61 is: 189,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,909.89 : 293,819.88 = 137,589.61 : x
  2. Step 2: Convert to fraction form
    212,909.89/293,819.88 = 137,589.61/x
  3. Step 3: Cross multiply
    212,909.89x = 293,819.88 × 137,589.61
  4. Step 4: Simplify right side
    212,909.89x = 40,426,562,699.45
  5. Step 5: Solve for x
    x = 40,426,562,699.45/212,909.89
  6. Step 6: Final answer
    x = 189,876.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.