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Finding the Fourth Proportional to 256,584.35, 354,080.15 and 141,860.03

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Solution

The fourth proportional to 256,584.35, 354,080.15 and 141,860.03 is: 195,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,584.35 : 354,080.15 = 141,860.03 : x
  2. Step 2: Convert to fraction form
    256,584.35/354,080.15 = 141,860.03/x
  3. Step 3: Cross multiply
    256,584.35x = 354,080.15 × 141,860.03
  4. Step 4: Simplify right side
    256,584.35x = 50,229,818,931.00
  5. Step 5: Solve for x
    x = 50,229,818,931.00/256,584.35
  6. Step 6: Final answer
    x = 195,763.38

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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.