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Finding the Fourth Proportional to 264,080.13, 364,477.17 and 156,709.37

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Solution

The fourth proportional to 264,080.13, 364,477.17 and 156,709.37 is: 216,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,080.13 : 364,477.17 = 156,709.37 : x
  2. Step 2: Convert to fraction form
    264,080.13/364,477.17 = 156,709.37/x
  3. Step 3: Cross multiply
    264,080.13x = 364,477.17 × 156,709.37
  4. Step 4: Simplify right side
    264,080.13x = 57,116,985,867.70
  5. Step 5: Solve for x
    x = 57,116,985,867.70/264,080.13
  6. Step 6: Final answer
    x = 216,286.57

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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.