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Finding the Fourth Proportional to 264,897.47, 397,105.87 and 96,298.72

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Solution

The fourth proportional to 264,897.47, 397,105.87 and 96,298.72 is: 144,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,897.47 : 397,105.87 = 96,298.72 : x
  2. Step 2: Convert to fraction form
    264,897.47/397,105.87 = 96,298.72/x
  3. Step 3: Cross multiply
    264,897.47x = 397,105.87 × 96,298.72
  4. Step 4: Simplify right side
    264,897.47x = 38,240,786,985.49
  5. Step 5: Solve for x
    x = 38,240,786,985.49/264,897.47
  6. Step 6: Final answer
    x = 144,360.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.