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Finding the Fourth Proportional to 206,467.63, 309,492.29 and 139,914.49

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Solution

The fourth proportional to 206,467.63, 309,492.29 and 139,914.49 is: 209,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,467.63 : 309,492.29 = 139,914.49 : x
  2. Step 2: Convert to fraction form
    206,467.63/309,492.29 = 139,914.49/x
  3. Step 3: Cross multiply
    206,467.63x = 309,492.29 × 139,914.49
  4. Step 4: Simplify right side
    206,467.63x = 43,302,455,214.71
  5. Step 5: Solve for x
    x = 43,302,455,214.71/206,467.63
  6. Step 6: Final answer
    x = 209,730.00

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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.