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Finding the Fourth Proportional to 260,686.68, 359,755.20 and 147,507

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Solution

The fourth proportional to 260,686.68, 359,755.20 and 147,507 is: 203,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,686.68 : 359,755.20 = 147,507 : x
  2. Step 2: Convert to fraction form
    260,686.68/359,755.20 = 147,507/x
  3. Step 3: Cross multiply
    260,686.68x = 359,755.20 × 147,507
  4. Step 4: Simplify right side
    260,686.68x = 53,066,410,286.40
  5. Step 5: Solve for x
    x = 53,066,410,286.40/260,686.68
  6. Step 6: Final answer
    x = 203,563.95

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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.