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Finding the Fourth Proportional to 265,242.56, 397,868.04 and 147,661.25

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Solution

The fourth proportional to 265,242.56, 397,868.04 and 147,661.25 is: 221,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,242.56 : 397,868.04 = 147,661.25 : x
  2. Step 2: Convert to fraction form
    265,242.56/397,868.04 = 147,661.25/x
  3. Step 3: Cross multiply
    265,242.56x = 397,868.04 × 147,661.25
  4. Step 4: Simplify right side
    265,242.56x = 58,749,690,132.11
  5. Step 5: Solve for x
    x = 58,749,690,132.11/265,242.56
  6. Step 6: Final answer
    x = 221,494.21

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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.