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Finding the Fourth Proportional to 264,324.65, 364,730.61 and 156,937.48

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Solution

The fourth proportional to 264,324.65, 364,730.61 and 156,937.48 is: 216,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,324.65 : 364,730.61 = 156,937.48 : x
  2. Step 2: Convert to fraction form
    264,324.65/364,730.61 = 156,937.48/x
  3. Step 3: Cross multiply
    264,324.65x = 364,730.61 × 156,937.48
  4. Step 4: Simplify right side
    264,324.65x = 57,239,901,900.44
  5. Step 5: Solve for x
    x = 57,239,901,900.44/264,324.65
  6. Step 6: Final answer
    x = 216,551.51

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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.