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Finding the Fourth Proportional to 212,822.76, 293,690.16 and 117,327.54

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Solution

The fourth proportional to 212,822.76, 293,690.16 and 117,327.54 is: 161,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,822.76 : 293,690.16 = 117,327.54 : x
  2. Step 2: Convert to fraction form
    212,822.76/293,690.16 = 117,327.54/x
  3. Step 3: Cross multiply
    212,822.76x = 293,690.16 × 117,327.54
  4. Step 4: Simplify right side
    212,822.76x = 34,457,943,995.01
  5. Step 5: Solve for x
    x = 34,457,943,995.01/212,822.76
  6. Step 6: Final answer
    x = 161,909.11

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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.