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Finding the Fourth Proportional to 241,266.16, 361,914.90 and 83,473.84

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Solution

The fourth proportional to 241,266.16, 361,914.90 and 83,473.84 is: 125,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,266.16 : 361,914.90 = 83,473.84 : x
  2. Step 2: Convert to fraction form
    241,266.16/361,914.90 = 83,473.84/x
  3. Step 3: Cross multiply
    241,266.16x = 361,914.90 × 83,473.84
  4. Step 4: Simplify right side
    241,266.16x = 30,210,426,456.22
  5. Step 5: Solve for x
    x = 30,210,426,456.22/241,266.16
  6. Step 6: Final answer
    x = 125,216.18

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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.