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Finding the Fourth Proportional to 206,484.48, 284,981.76 and 117,089.28

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Solution

The fourth proportional to 206,484.48, 284,981.76 and 117,089.28 is: 161,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,484.48 : 284,981.76 = 117,089.28 : x
  2. Step 2: Convert to fraction form
    206,484.48/284,981.76 = 117,089.28/x
  3. Step 3: Cross multiply
    206,484.48x = 284,981.76 × 117,089.28
  4. Step 4: Simplify right side
    206,484.48x = 33,368,309,091.53
  5. Step 5: Solve for x
    x = 33,368,309,091.53/206,484.48
  6. Step 6: Final answer
    x = 161,602.02

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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.