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Finding the Fourth Proportional to 212,809.56, 293,679.18 and 117,319.68

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Solution

The fourth proportional to 212,809.56, 293,679.18 and 117,319.68 is: 161,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,809.56 : 293,679.18 = 117,319.68 : x
  2. Step 2: Convert to fraction form
    212,809.56/293,679.18 = 117,319.68/x
  3. Step 3: Cross multiply
    212,809.56x = 293,679.18 × 117,319.68
  4. Step 4: Simplify right side
    212,809.56x = 34,454,347,420.26
  5. Step 5: Solve for x
    x = 34,454,347,420.26/212,809.56
  6. Step 6: Final answer
    x = 161,902.25

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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.