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Finding the Fourth Proportional to 212,709.63, 293,538.02 and 115,913.28

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Solution

The fourth proportional to 212,709.63, 293,538.02 and 115,913.28 is: 159,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,709.63 : 293,538.02 = 115,913.28 : x
  2. Step 2: Convert to fraction form
    212,709.63/293,538.02 = 115,913.28/x
  3. Step 3: Cross multiply
    212,709.63x = 293,538.02 × 115,913.28
  4. Step 4: Simplify right side
    212,709.63x = 34,024,954,702.91
  5. Step 5: Solve for x
    x = 34,024,954,702.91/212,709.63
  6. Step 6: Final answer
    x = 159,959.63

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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.