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Finding the Fourth Proportional to 241,477.14, 362,133.69 and 83,668.80

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Solution

The fourth proportional to 241,477.14, 362,133.69 and 83,668.80 is: 125,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,477.14 : 362,133.69 = 83,668.80 : x
  2. Step 2: Convert to fraction form
    241,477.14/362,133.69 = 83,668.80/x
  3. Step 3: Cross multiply
    241,477.14x = 362,133.69 × 83,668.80
  4. Step 4: Simplify right side
    241,477.14x = 30,299,291,281.87
  5. Step 5: Solve for x
    x = 30,299,291,281.87/241,477.14
  6. Step 6: Final answer
    x = 125,474.78

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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.