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Finding the Fourth Proportional to 264,020.86, 364,411.83 and 156,653.20

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Solution

The fourth proportional to 264,020.86, 364,411.83 and 156,653.20 is: 216,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,020.86 : 364,411.83 = 156,653.20 : x
  2. Step 2: Convert to fraction form
    264,020.86/364,411.83 = 156,653.20/x
  3. Step 3: Cross multiply
    264,020.86x = 364,411.83 × 156,653.20
  4. Step 4: Simplify right side
    264,020.86x = 57,086,279,287.36
  5. Step 5: Solve for x
    x = 57,086,279,287.36/264,020.86
  6. Step 6: Final answer
    x = 216,218.82

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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.