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Finding the Fourth Proportional to 212,428.82, 293,158.38 and 115,639.12

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Solution

The fourth proportional to 212,428.82, 293,158.38 and 115,639.12 is: 159,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,428.82 : 293,158.38 = 115,639.12 : x
  2. Step 2: Convert to fraction form
    212,428.82/293,158.38 = 115,639.12/x
  3. Step 3: Cross multiply
    212,428.82x = 293,158.38 × 115,639.12
  4. Step 4: Simplify right side
    212,428.82x = 33,900,576,505.63
  5. Step 5: Solve for x
    x = 33,900,576,505.63/212,428.82
  6. Step 6: Final answer
    x = 159,585.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.