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Finding the Fourth Proportional to 281,438.04, 422,200.26 and 94,405.80

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Solution

The fourth proportional to 281,438.04, 422,200.26 and 94,405.80 is: 141,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,438.04 : 422,200.26 = 94,405.80 : x
  2. Step 2: Convert to fraction form
    281,438.04/422,200.26 = 94,405.80/x
  3. Step 3: Cross multiply
    281,438.04x = 422,200.26 × 94,405.80
  4. Step 4: Simplify right side
    281,438.04x = 39,858,153,305.51
  5. Step 5: Solve for x
    x = 39,858,153,305.51/281,438.04
  6. Step 6: Final answer
    x = 141,623.19

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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.