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Finding the Fourth Proportional to 284,198.69, 392,194.14 and 156,874.25

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Solution

The fourth proportional to 284,198.69, 392,194.14 and 156,874.25 is: 216,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,198.69 : 392,194.14 = 156,874.25 : x
  2. Step 2: Convert to fraction form
    284,198.69/392,194.14 = 156,874.25/x
  3. Step 3: Cross multiply
    284,198.69x = 392,194.14 × 156,874.25
  4. Step 4: Simplify right side
    284,198.69x = 61,525,161,959.10
  5. Step 5: Solve for x
    x = 61,525,161,959.10/284,198.69
  6. Step 6: Final answer
    x = 216,486.44

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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.