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Finding the Fourth Proportional to 241,226.80, 361,875.84 and 83,412.88

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Solution

The fourth proportional to 241,226.80, 361,875.84 and 83,412.88 is: 125,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,226.80 : 361,875.84 = 83,412.88 : x
  2. Step 2: Convert to fraction form
    241,226.80/361,875.84 = 83,412.88/x
  3. Step 3: Cross multiply
    241,226.80x = 361,875.84 × 83,412.88
  4. Step 4: Simplify right side
    241,226.80x = 30,185,106,016.82
  5. Step 5: Solve for x
    x = 30,185,106,016.82/241,226.80
  6. Step 6: Final answer
    x = 125,131.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.