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Finding the Fourth Proportional to 234,193.07, 323,192.72 and 142,281.07

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Solution

The fourth proportional to 234,193.07, 323,192.72 and 142,281.07 is: 196,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,193.07 : 323,192.72 = 142,281.07 : x
  2. Step 2: Convert to fraction form
    234,193.07/323,192.72 = 142,281.07/x
  3. Step 3: Cross multiply
    234,193.07x = 323,192.72 × 142,281.07
  4. Step 4: Simplify right side
    234,193.07x = 45,984,206,017.81
  5. Step 5: Solve for x
    x = 45,984,206,017.81/234,193.07
  6. Step 6: Final answer
    x = 196,351.69

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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.