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Finding the Fourth Proportional to 206,865.83, 285,457.32 and 116,214.68

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Solution

The fourth proportional to 206,865.83, 285,457.32 and 116,214.68 is: 160,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,865.83 : 285,457.32 = 116,214.68 : x
  2. Step 2: Convert to fraction form
    206,865.83/285,457.32 = 116,214.68/x
  3. Step 3: Cross multiply
    206,865.83x = 285,457.32 × 116,214.68
  4. Step 4: Simplify right side
    206,865.83x = 33,174,329,670.17
  5. Step 5: Solve for x
    x = 33,174,329,670.17/206,865.83
  6. Step 6: Final answer
    x = 160,366.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.