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Finding the Fourth Proportional to 264,097.29, 364,462.51 and 149,373.69

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Solution

The fourth proportional to 264,097.29, 364,462.51 and 149,373.69 is: 206,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,097.29 : 364,462.51 = 149,373.69 : x
  2. Step 2: Convert to fraction form
    264,097.29/364,462.51 = 149,373.69/x
  3. Step 3: Cross multiply
    264,097.29x = 364,462.51 × 149,373.69
  4. Step 4: Simplify right side
    264,097.29x = 54,441,107,416.18
  5. Step 5: Solve for x
    x = 54,441,107,416.18/264,097.29
  6. Step 6: Final answer
    x = 206,140.35

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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.