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Finding the Fourth Proportional to 357,106.80, 535,286.38 and 120,367.64

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Solution

The fourth proportional to 357,106.80, 535,286.38 and 120,367.64 is: 180,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,106.80 : 535,286.38 = 120,367.64 : x
  2. Step 2: Convert to fraction form
    357,106.80/535,286.38 = 120,367.64/x
  3. Step 3: Cross multiply
    357,106.80x = 535,286.38 × 120,367.64
  4. Step 4: Simplify right side
    357,106.80x = 64,431,158,284.74
  5. Step 5: Solve for x
    x = 64,431,158,284.74/357,106.80
  6. Step 6: Final answer
    x = 180,425.46

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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.