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Finding the Fourth Proportional to 260,847.84, 359,983.40 and 146,119.58

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Solution

The fourth proportional to 260,847.84, 359,983.40 and 146,119.58 is: 201,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,847.84 : 359,983.40 = 146,119.58 : x
  2. Step 2: Convert to fraction form
    260,847.84/359,983.40 = 146,119.58/x
  3. Step 3: Cross multiply
    260,847.84x = 359,983.40 × 146,119.58
  4. Step 4: Simplify right side
    260,847.84x = 52,600,620,684.46
  5. Step 5: Solve for x
    x = 52,600,620,684.46/260,847.84
  6. Step 6: Final answer
    x = 201,652.51

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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.