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Finding the Fourth Proportional to 212,503.50, 293,254.83 and 117,009.97

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Solution

The fourth proportional to 212,503.50, 293,254.83 and 117,009.97 is: 161,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,503.50 : 293,254.83 = 117,009.97 : x
  2. Step 2: Convert to fraction form
    212,503.50/293,254.83 = 117,009.97/x
  3. Step 3: Cross multiply
    212,503.50x = 293,254.83 × 117,009.97
  4. Step 4: Simplify right side
    212,503.50x = 34,313,738,127.52
  5. Step 5: Solve for x
    x = 34,313,738,127.52/212,503.50
  6. Step 6: Final answer
    x = 161,473.76

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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.