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Finding the Fourth Proportional to 268,043.10, 402,064.65 and 71,051.10

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Solution

The fourth proportional to 268,043.10, 402,064.65 and 71,051.10 is: 106,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,043.10 : 402,064.65 = 71,051.10 : x
  2. Step 2: Convert to fraction form
    268,043.10/402,064.65 = 71,051.10/x
  3. Step 3: Cross multiply
    268,043.10x = 402,064.65 × 71,051.10
  4. Step 4: Simplify right side
    268,043.10x = 28,567,135,653.62
  5. Step 5: Solve for x
    x = 28,567,135,653.62/268,043.10
  6. Step 6: Final answer
    x = 106,576.65

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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.