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Finding the Fourth Proportional to 262,001.76, 361,562.46 and 142,769.76

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Solution

The fourth proportional to 262,001.76, 361,562.46 and 142,769.76 is: 197,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,001.76 : 361,562.46 = 142,769.76 : x
  2. Step 2: Convert to fraction form
    262,001.76/361,562.46 = 142,769.76/x
  3. Step 3: Cross multiply
    262,001.76x = 361,562.46 × 142,769.76
  4. Step 4: Simplify right side
    262,001.76x = 51,620,185,639.21
  5. Step 5: Solve for x
    x = 51,620,185,639.21/262,001.76
  6. Step 6: Final answer
    x = 197,022.29

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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.