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Finding the Fourth Proportional to 212,696.10, 293,518.16 and 120,814.76

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Solution

The fourth proportional to 212,696.10, 293,518.16 and 120,814.76 is: 166,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,696.10 : 293,518.16 = 120,814.76 : x
  2. Step 2: Convert to fraction form
    212,696.10/293,518.16 = 120,814.76/x
  3. Step 3: Cross multiply
    212,696.10x = 293,518.16 × 120,814.76
  4. Step 4: Simplify right side
    212,696.10x = 35,461,326,056.04
  5. Step 5: Solve for x
    x = 35,461,326,056.04/212,696.10
  6. Step 6: Final answer
    x = 166,722.97

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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.