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Finding the Fourth Proportional to 204,906.86, 282,805.53 and 118,916.76

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Solution

The fourth proportional to 204,906.86, 282,805.53 and 118,916.76 is: 164,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.86 : 282,805.53 = 118,916.76 : x
  2. Step 2: Convert to fraction form
    204,906.86/282,805.53 = 118,916.76/x
  3. Step 3: Cross multiply
    204,906.86x = 282,805.53 × 118,916.76
  4. Step 4: Simplify right side
    204,906.86x = 33,630,316,361.48
  5. Step 5: Solve for x
    x = 33,630,316,361.48/204,906.86
  6. Step 6: Final answer
    x = 164,124.89

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1.5x scale

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.