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Finding the Fourth Proportional to 354,835.05, 532,322.64 and 130,197.33

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Solution

The fourth proportional to 354,835.05, 532,322.64 and 130,197.33 is: 195,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,835.05 : 532,322.64 = 130,197.33 : x
  2. Step 2: Convert to fraction form
    354,835.05/532,322.64 = 130,197.33/x
  3. Step 3: Cross multiply
    354,835.05x = 532,322.64 × 130,197.33
  4. Step 4: Simplify right side
    354,835.05x = 69,306,986,426.55
  5. Step 5: Solve for x
    x = 69,306,986,426.55/354,835.05
  6. Step 6: Final answer
    x = 195,321.70

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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.