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Finding the Fourth Proportional to 262,054.64, 361,645.08 and 148,896.56

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Solution

The fourth proportional to 262,054.64, 361,645.08 and 148,896.56 is: 205,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,054.64 : 361,645.08 = 148,896.56 : x
  2. Step 2: Convert to fraction form
    262,054.64/361,645.08 = 148,896.56/x
  3. Step 3: Cross multiply
    262,054.64x = 361,645.08 × 148,896.56
  4. Step 4: Simplify right side
    262,054.64x = 53,847,708,352.92
  5. Step 5: Solve for x
    x = 53,847,708,352.92/262,054.64
  6. Step 6: Final answer
    x = 205,482.75

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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.