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Finding the Fourth Proportional to 265,448.16, 397,931.58 and 132,369.21

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Solution

The fourth proportional to 265,448.16, 397,931.58 and 132,369.21 is: 198,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,448.16 : 397,931.58 = 132,369.21 : x
  2. Step 2: Convert to fraction form
    265,448.16/397,931.58 = 132,369.21/x
  3. Step 3: Cross multiply
    265,448.16x = 397,931.58 × 132,369.21
  4. Step 4: Simplify right side
    265,448.16x = 52,673,888,878.65
  5. Step 5: Solve for x
    x = 52,673,888,878.65/265,448.16
  6. Step 6: Final answer
    x = 198,433.81

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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.