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Finding the Fourth Proportional to 264,285.81, 364,714.85 and 156,877.38

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Solution

The fourth proportional to 264,285.81, 364,714.85 and 156,877.38 is: 216,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,285.81 : 364,714.85 = 156,877.38 : x
  2. Step 2: Convert to fraction form
    264,285.81/364,714.85 = 156,877.38/x
  3. Step 3: Cross multiply
    264,285.81x = 364,714.85 × 156,877.38
  4. Step 4: Simplify right side
    264,285.81x = 57,215,510,507.29
  5. Step 5: Solve for x
    x = 57,215,510,507.29/264,285.81
  6. Step 6: Final answer
    x = 216,491.04

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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.