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Finding the Fourth Proportional to 343,059.06, 514,563.87 and 106,395.59

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Solution

The fourth proportional to 343,059.06, 514,563.87 and 106,395.59 is: 159,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,059.06 : 514,563.87 = 106,395.59 : x
  2. Step 2: Convert to fraction form
    343,059.06/514,563.87 = 106,395.59/x
  3. Step 3: Cross multiply
    343,059.06x = 514,563.87 × 106,395.59
  4. Step 4: Simplify right side
    343,059.06x = 54,747,326,541.33
  5. Step 5: Solve for x
    x = 54,747,326,541.33/343,059.06
  6. Step 6: Final answer
    x = 159,585.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.