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Finding the Fourth Proportional to 206,810.26, 310,216.71 and 113,264.98

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Solution

The fourth proportional to 206,810.26, 310,216.71 and 113,264.98 is: 169,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,810.26 : 310,216.71 = 113,264.98 : x
  2. Step 2: Convert to fraction form
    206,810.26/310,216.71 = 113,264.98/x
  3. Step 3: Cross multiply
    206,810.26x = 310,216.71 × 113,264.98
  4. Step 4: Simplify right side
    206,810.26x = 35,136,689,453.82
  5. Step 5: Solve for x
    x = 35,136,689,453.82/206,810.26
  6. Step 6: Final answer
    x = 169,898.19

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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.