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Finding the Fourth Proportional to 354,838.05, 532,327.14 and 130,200.33

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Solution

The fourth proportional to 354,838.05, 532,327.14 and 130,200.33 is: 195,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,838.05 : 532,327.14 = 130,200.33 : x
  2. Step 2: Convert to fraction form
    354,838.05/532,327.14 = 130,200.33/x
  3. Step 3: Cross multiply
    354,838.05x = 532,327.14 × 130,200.33
  4. Step 4: Simplify right side
    354,838.05x = 69,309,169,295.96
  5. Step 5: Solve for x
    x = 69,309,169,295.96/354,838.05
  6. Step 6: Final answer
    x = 195,326.20

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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.