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Finding the Fourth Proportional to 281,133.98, 421,709.04 and 110,348.59

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Solution

The fourth proportional to 281,133.98, 421,709.04 and 110,348.59 is: 165,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,133.98 : 421,709.04 = 110,348.59 : x
  2. Step 2: Convert to fraction form
    281,133.98/421,709.04 = 110,348.59/x
  3. Step 3: Cross multiply
    281,133.98x = 421,709.04 × 110,348.59
  4. Step 4: Simplify right side
    281,133.98x = 46,534,997,376.14
  5. Step 5: Solve for x
    x = 46,534,997,376.14/281,133.98
  6. Step 6: Final answer
    x = 165,526.05

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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.