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Finding the Fourth Proportional to 206,492.48, 284,992.80 and 117,097.28

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Solution

The fourth proportional to 206,492.48, 284,992.80 and 117,097.28 is: 161,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,492.48 : 284,992.80 = 117,097.28 : x
  2. Step 2: Convert to fraction form
    206,492.48/284,992.80 = 117,097.28/x
  3. Step 3: Cross multiply
    206,492.48x = 284,992.80 × 117,097.28
  4. Step 4: Simplify right side
    206,492.48x = 33,371,881,699.58
  5. Step 5: Solve for x
    x = 33,371,881,699.58/206,492.48
  6. Step 6: Final answer
    x = 161,613.06

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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.