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Finding the Fourth Proportional to 343,174.24, 514,826.03 and 130,006

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Solution

The fourth proportional to 343,174.24, 514,826.03 and 130,006 is: 195,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,174.24 : 514,826.03 = 130,006 : x
  2. Step 2: Convert to fraction form
    343,174.24/514,826.03 = 130,006/x
  3. Step 3: Cross multiply
    343,174.24x = 514,826.03 × 130,006
  4. Step 4: Simplify right side
    343,174.24x = 66,930,472,856.18
  5. Step 5: Solve for x
    x = 66,930,472,856.18/343,174.24
  6. Step 6: Final answer
    x = 195,033.50

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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.