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Finding the Fourth Proportional to 153,963.13, 212,457 and 85,974.79

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Solution

The fourth proportional to 153,963.13, 212,457 and 85,974.79 is: 118,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,963.13 : 212,457 = 85,974.79 : x
  2. Step 2: Convert to fraction form
    153,963.13/212,457 = 85,974.79/x
  3. Step 3: Cross multiply
    153,963.13x = 212,457 × 85,974.79
  4. Step 4: Simplify right side
    153,963.13x = 18,265,945,959.03
  5. Step 5: Solve for x
    x = 18,265,945,959.03/153,963.13
  6. Step 6: Final answer
    x = 118,638.44

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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.