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Finding the Fourth Proportional to 212,322.23, 292,971.21 and 121,660.76

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Solution

The fourth proportional to 212,322.23, 292,971.21 and 121,660.76 is: 167,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,322.23 : 292,971.21 = 121,660.76 : x
  2. Step 2: Convert to fraction form
    212,322.23/292,971.21 = 121,660.76/x
  3. Step 3: Cross multiply
    212,322.23x = 292,971.21 × 121,660.76
  4. Step 4: Simplify right side
    212,322.23x = 35,643,098,601.86
  5. Step 5: Solve for x
    x = 35,643,098,601.86/212,322.23
  6. Step 6: Final answer
    x = 167,872.67

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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.