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Finding the Fourth Proportional to 265,098.65, 397,709.48 and 87,594.90

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Solution

The fourth proportional to 265,098.65, 397,709.48 and 87,594.90 is: 131,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,098.65 : 397,709.48 = 87,594.90 : x
  2. Step 2: Convert to fraction form
    265,098.65/397,709.48 = 87,594.90/x
  3. Step 3: Cross multiply
    265,098.65x = 397,709.48 × 87,594.90
  4. Step 4: Simplify right side
    265,098.65x = 34,837,321,691.68
  5. Step 5: Solve for x
    x = 34,837,321,691.68/265,098.65
  6. Step 6: Final answer
    x = 131,412.67

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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.