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Finding the Fourth Proportional to 264,082.88, 364,480.96 and 156,712.12

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Solution

The fourth proportional to 264,082.88, 364,480.96 and 156,712.12 is: 216,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,082.88 : 364,480.96 = 156,712.12 : x
  2. Step 2: Convert to fraction form
    264,082.88/364,480.96 = 156,712.12/x
  3. Step 3: Cross multiply
    264,082.88x = 364,480.96 × 156,712.12
  4. Step 4: Simplify right side
    264,082.88x = 57,118,583,941.24
  5. Step 5: Solve for x
    x = 57,118,583,941.24/264,082.88
  6. Step 6: Final answer
    x = 216,290.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.