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Finding the Fourth Proportional to 211,915.96, 292,449.30 and 116,428.84

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Solution

The fourth proportional to 211,915.96, 292,449.30 and 116,428.84 is: 160,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,915.96 : 292,449.30 = 116,428.84 : x
  2. Step 2: Convert to fraction form
    211,915.96/292,449.30 = 116,428.84/x
  3. Step 3: Cross multiply
    211,915.96x = 292,449.30 × 116,428.84
  4. Step 4: Simplify right side
    211,915.96x = 34,049,532,757.81
  5. Step 5: Solve for x
    x = 34,049,532,757.81/211,915.96
  6. Step 6: Final answer
    x = 160,674.70

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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.