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Finding the Fourth Proportional to 288,872.14, 433,045.76 and 131,014.48

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Solution

The fourth proportional to 288,872.14, 433,045.76 and 131,014.48 is: 196,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,872.14 : 433,045.76 = 131,014.48 : x
  2. Step 2: Convert to fraction form
    288,872.14/433,045.76 = 131,014.48/x
  3. Step 3: Cross multiply
    288,872.14x = 433,045.76 × 131,014.48
  4. Step 4: Simplify right side
    288,872.14x = 56,735,265,062.60
  5. Step 5: Solve for x
    x = 56,735,265,062.60/288,872.14
  6. Step 6: Final answer
    x = 196,402.69

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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.