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Finding the Fourth Proportional to 264,321.56, 364,597.80 and 156,815.48

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Solution

The fourth proportional to 264,321.56, 364,597.80 and 156,815.48 is: 216,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,321.56 : 364,597.80 = 156,815.48 : x
  2. Step 2: Convert to fraction form
    264,321.56/364,597.80 = 156,815.48/x
  3. Step 3: Cross multiply
    264,321.56x = 364,597.80 × 156,815.48
  4. Step 4: Simplify right side
    264,321.56x = 57,174,579,141.36
  5. Step 5: Solve for x
    x = 57,174,579,141.36/264,321.56
  6. Step 6: Final answer
    x = 216,306.91

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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.