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Finding the Fourth Proportional to 281,052.99, 421,584.98 and 103,468.59

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Solution

The fourth proportional to 281,052.99, 421,584.98 and 103,468.59 is: 155,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,052.99 : 421,584.98 = 103,468.59 : x
  2. Step 2: Convert to fraction form
    281,052.99/421,584.98 = 103,468.59/x
  3. Step 3: Cross multiply
    281,052.99x = 421,584.98 × 103,468.59
  4. Step 4: Simplify right side
    281,052.99x = 43,620,803,445.78
  5. Step 5: Solve for x
    x = 43,620,803,445.78/281,052.99
  6. Step 6: Final answer
    x = 155,204.91

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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.