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Finding the Fourth Proportional to 212,338.12, 293,038.74 and 121,709.19

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Solution

The fourth proportional to 212,338.12, 293,038.74 and 121,709.19 is: 167,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,338.12 : 293,038.74 = 121,709.19 : x
  2. Step 2: Convert to fraction form
    212,338.12/293,038.74 = 121,709.19/x
  3. Step 3: Cross multiply
    212,338.12x = 293,038.74 × 121,709.19
  4. Step 4: Simplify right side
    212,338.12x = 35,665,507,684.02
  5. Step 5: Solve for x
    x = 35,665,507,684.02/212,338.12
  6. Step 6: Final answer
    x = 167,965.64

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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.