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Finding the Fourth Proportional to 262,140.96, 361,751.07 and 147,419.57

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Solution

The fourth proportional to 262,140.96, 361,751.07 and 147,419.57 is: 203,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,140.96 : 361,751.07 = 147,419.57 : x
  2. Step 2: Convert to fraction form
    262,140.96/361,751.07 = 147,419.57/x
  3. Step 3: Cross multiply
    262,140.96x = 361,751.07 × 147,419.57
  4. Step 4: Simplify right side
    262,140.96x = 53,329,187,186.44
  5. Step 5: Solve for x
    x = 53,329,187,186.44/262,140.96
  6. Step 6: Final answer
    x = 203,437.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.