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Finding the Fourth Proportional to 264,901.86, 365,700.02 and 204,336.54

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Solution

The fourth proportional to 264,901.86, 365,700.02 and 204,336.54 is: 282,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,901.86 : 365,700.02 = 204,336.54 : x
  2. Step 2: Convert to fraction form
    264,901.86/365,700.02 = 204,336.54/x
  3. Step 3: Cross multiply
    264,901.86x = 365,700.02 × 204,336.54
  4. Step 4: Simplify right side
    264,901.86x = 74,725,875,743.05
  5. Step 5: Solve for x
    x = 74,725,875,743.05/264,901.86
  6. Step 6: Final answer
    x = 282,088.91

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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.