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Finding the Fourth Proportional to 260,433.68, 359,406.06 and 147,254

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Solution

The fourth proportional to 260,433.68, 359,406.06 and 147,254 is: 203,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,433.68 : 359,406.06 = 147,254 : x
  2. Step 2: Convert to fraction form
    260,433.68/359,406.06 = 147,254/x
  3. Step 3: Cross multiply
    260,433.68x = 359,406.06 × 147,254
  4. Step 4: Simplify right side
    260,433.68x = 52,923,979,959.24
  5. Step 5: Solve for x
    x = 52,923,979,959.24/260,433.68
  6. Step 6: Final answer
    x = 203,214.81

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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.