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Finding the Fourth Proportional to 264,216.94, 364,458.08 and 156,714.95

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Solution

The fourth proportional to 264,216.94, 364,458.08 and 156,714.95 is: 216,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,216.94 : 364,458.08 = 156,714.95 : x
  2. Step 2: Convert to fraction form
    264,216.94/364,458.08 = 156,714.95/x
  3. Step 3: Cross multiply
    264,216.94x = 364,458.08 × 156,714.95
  4. Step 4: Simplify right side
    264,216.94x = 57,116,031,087.23
  5. Step 5: Solve for x
    x = 57,116,031,087.23/264,216.94
  6. Step 6: Final answer
    x = 216,170.97

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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.