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Finding the Fourth Proportional to 234,195.07, 323,195.48 and 142,283.07

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Solution

The fourth proportional to 234,195.07, 323,195.48 and 142,283.07 is: 196,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,195.07 : 323,195.48 = 142,283.07 : x
  2. Step 2: Convert to fraction form
    234,195.07/323,195.48 = 142,283.07/x
  3. Step 3: Cross multiply
    234,195.07x = 323,195.48 × 142,283.07
  4. Step 4: Simplify right side
    234,195.07x = 45,985,245,104.52
  5. Step 5: Solve for x
    x = 45,985,245,104.52/234,195.07
  6. Step 6: Final answer
    x = 196,354.45

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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.