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Finding the Fourth Proportional to 212,815.65, 293,687.64 and 117,325.77

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Solution

The fourth proportional to 212,815.65, 293,687.64 and 117,325.77 is: 161,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,815.65 : 293,687.64 = 117,325.77 : x
  2. Step 2: Convert to fraction form
    212,815.65/293,687.64 = 117,325.77/x
  3. Step 3: Cross multiply
    212,815.65x = 293,687.64 × 117,325.77
  4. Step 4: Simplify right side
    212,815.65x = 34,457,127,401.15
  5. Step 5: Solve for x
    x = 34,457,127,401.15/212,815.65
  6. Step 6: Final answer
    x = 161,910.68

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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.