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Finding the Fourth Proportional to 260,661.87, 359,746.95 and 145,984.08

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Solution

The fourth proportional to 260,661.87, 359,746.95 and 145,984.08 is: 201,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,661.87 : 359,746.95 = 145,984.08 : x
  2. Step 2: Convert to fraction form
    260,661.87/359,746.95 = 145,984.08/x
  3. Step 3: Cross multiply
    260,661.87x = 359,746.95 × 145,984.08
  4. Step 4: Simplify right side
    260,661.87x = 52,517,327,528.56
  5. Step 5: Solve for x
    x = 52,517,327,528.56/260,661.87
  6. Step 6: Final answer
    x = 201,476.83

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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.