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Finding the Fourth Proportional to 134,097.80, 200,628.30 and 87,441.80

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Solution

The fourth proportional to 134,097.80, 200,628.30 and 87,441.80 is: 130,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,097.80 : 200,628.30 = 87,441.80 : x
  2. Step 2: Convert to fraction form
    134,097.80/200,628.30 = 87,441.80/x
  3. Step 3: Cross multiply
    134,097.80x = 200,628.30 × 87,441.80
  4. Step 4: Simplify right side
    134,097.80x = 17,543,299,682.94
  5. Step 5: Solve for x
    x = 17,543,299,682.94/134,097.80
  6. Step 6: Final answer
    x = 130,824.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.