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Finding the Fourth Proportional to 264,234.49, 364,619.51 and 156,786.01

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Solution

The fourth proportional to 264,234.49, 364,619.51 and 156,786.01 is: 216,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,234.49 : 364,619.51 = 156,786.01 : x
  2. Step 2: Convert to fraction form
    264,234.49/364,619.51 = 156,786.01/x
  3. Step 3: Cross multiply
    264,234.49x = 364,619.51 × 156,786.01
  4. Step 4: Simplify right side
    264,234.49x = 57,167,238,141.06
  5. Step 5: Solve for x
    x = 57,167,238,141.06/264,234.49
  6. Step 6: Final answer
    x = 216,350.40

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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.