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Finding the Fourth Proportional to 281,103.40, 421,655.10 and 81,430.30

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Solution

The fourth proportional to 281,103.40, 421,655.10 and 81,430.30 is: 122,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,103.40 : 421,655.10 = 81,430.30 : x
  2. Step 2: Convert to fraction form
    281,103.40/421,655.10 = 81,430.30/x
  3. Step 3: Cross multiply
    281,103.40x = 421,655.10 × 81,430.30
  4. Step 4: Simplify right side
    281,103.40x = 34,335,501,289.53
  5. Step 5: Solve for x
    x = 34,335,501,289.53/281,103.40
  6. Step 6: Final answer
    x = 122,145.45

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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.