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Finding the Fourth Proportional to 263,752.40, 363,977.80 and 142,896.70

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Solution

The fourth proportional to 263,752.40, 363,977.80 and 142,896.70 is: 197,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,752.40 : 363,977.80 = 142,896.70 : x
  2. Step 2: Convert to fraction form
    263,752.40/363,977.80 = 142,896.70/x
  3. Step 3: Cross multiply
    263,752.40x = 363,977.80 × 142,896.70
  4. Step 4: Simplify right side
    263,752.40x = 52,011,226,493.26
  5. Step 5: Solve for x
    x = 52,011,226,493.26/263,752.40
  6. Step 6: Final answer
    x = 197,197.17

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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.