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Finding the Fourth Proportional to 212,291.28, 292,964.28 and 115,495.67

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Solution

The fourth proportional to 212,291.28, 292,964.28 and 115,495.67 is: 159,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,291.28 : 292,964.28 = 115,495.67 : x
  2. Step 2: Convert to fraction form
    212,291.28/292,964.28 = 115,495.67/x
  3. Step 3: Cross multiply
    212,291.28x = 292,964.28 × 115,495.67
  4. Step 4: Simplify right side
    212,291.28x = 33,836,106,103.97
  5. Step 5: Solve for x
    x = 33,836,106,103.97/212,291.28
  6. Step 6: Final answer
    x = 159,385.28

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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.