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Finding the Fourth Proportional to 281,857.58, 422,846.15 and 92,303.93

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Solution

The fourth proportional to 281,857.58, 422,846.15 and 92,303.93 is: 138,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,857.58 : 422,846.15 = 92,303.93 : x
  2. Step 2: Convert to fraction form
    281,857.58/422,846.15 = 92,303.93/x
  3. Step 3: Cross multiply
    281,857.58x = 422,846.15 × 92,303.93
  4. Step 4: Simplify right side
    281,857.58x = 39,030,361,430.37
  5. Step 5: Solve for x
    x = 39,030,361,430.37/281,857.58
  6. Step 6: Final answer
    x = 138,475.47

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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.