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Finding the Fourth Proportional to 264,020.38, 364,411.14 and 156,652.72

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Solution

The fourth proportional to 264,020.38, 364,411.14 and 156,652.72 is: 216,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,020.38 : 364,411.14 = 156,652.72 : x
  2. Step 2: Convert to fraction form
    264,020.38/364,411.14 = 156,652.72/x
  3. Step 3: Cross multiply
    264,020.38x = 364,411.14 × 156,652.72
  4. Step 4: Simplify right side
    264,020.38x = 57,085,996,279.30
  5. Step 5: Solve for x
    x = 57,085,996,279.30/264,020.38
  6. Step 6: Final answer
    x = 216,218.14

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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.