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Finding the Fourth Proportional to 239,098.70, 329,857.16 and 142,283.16

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Solution

The fourth proportional to 239,098.70, 329,857.16 and 142,283.16 is: 196,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,098.70 : 329,857.16 = 142,283.16 : x
  2. Step 2: Convert to fraction form
    239,098.70/329,857.16 = 142,283.16/x
  3. Step 3: Cross multiply
    239,098.70x = 329,857.16 × 142,283.16
  4. Step 4: Simplify right side
    239,098.70x = 46,933,119,073.43
  5. Step 5: Solve for x
    x = 46,933,119,073.43/239,098.70
  6. Step 6: Final answer
    x = 196,291.82

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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.