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Finding the Fourth Proportional to 253,594.33, 380,428.58 and 76,115.37

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Solution

The fourth proportional to 253,594.33, 380,428.58 and 76,115.37 is: 114,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,594.33 : 380,428.58 = 76,115.37 : x
  2. Step 2: Convert to fraction form
    253,594.33/380,428.58 = 76,115.37/x
  3. Step 3: Cross multiply
    253,594.33x = 380,428.58 × 76,115.37
  4. Step 4: Simplify right side
    253,594.33x = 28,956,462,125.27
  5. Step 5: Solve for x
    x = 28,956,462,125.27/253,594.33
  6. Step 6: Final answer
    x = 114,184.19

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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.