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Finding the Fourth Proportional to 218,615.36, 301,710.72 and 127,965.84

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Solution

The fourth proportional to 218,615.36, 301,710.72 and 127,965.84 is: 176,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,615.36 : 301,710.72 = 127,965.84 : x
  2. Step 2: Convert to fraction form
    218,615.36/301,710.72 = 127,965.84/x
  3. Step 3: Cross multiply
    218,615.36x = 301,710.72 × 127,965.84
  4. Step 4: Simplify right side
    218,615.36x = 38,608,665,721.80
  5. Step 5: Solve for x
    x = 38,608,665,721.80/218,615.36
  6. Step 6: Final answer
    x = 176,605.46

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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.