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Finding the Fourth Proportional to 357,114.11, 535,672.82 and 120,458.87

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Solution

The fourth proportional to 357,114.11, 535,672.82 and 120,458.87 is: 180,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,114.11 : 535,672.82 = 120,458.87 : x
  2. Step 2: Convert to fraction form
    357,114.11/535,672.82 = 120,458.87/x
  3. Step 3: Cross multiply
    357,114.11x = 535,672.82 × 120,458.87
  4. Step 4: Simplify right side
    357,114.11x = 64,526,541,984.62
  5. Step 5: Solve for x
    x = 64,526,541,984.62/357,114.11
  6. Step 6: Final answer
    x = 180,688.86

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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.