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Finding the Fourth Proportional to 267,296.46, 368,866.05 and 144,786.51

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Solution

The fourth proportional to 267,296.46, 368,866.05 and 144,786.51 is: 199,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,296.46 : 368,866.05 = 144,786.51 : x
  2. Step 2: Convert to fraction form
    267,296.46/368,866.05 = 144,786.51/x
  3. Step 3: Cross multiply
    267,296.46x = 368,866.05 × 144,786.51
  4. Step 4: Simplify right side
    267,296.46x = 53,406,829,345.90
  5. Step 5: Solve for x
    x = 53,406,829,345.90/267,296.46
  6. Step 6: Final answer
    x = 199,803.73

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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.