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Finding the Fourth Proportional to 228,134.07, 342,150.21 and 65,992.59

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Solution

The fourth proportional to 228,134.07, 342,150.21 and 65,992.59 is: 98,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,134.07 : 342,150.21 = 65,992.59 : x
  2. Step 2: Convert to fraction form
    228,134.07/342,150.21 = 65,992.59/x
  3. Step 3: Cross multiply
    228,134.07x = 342,150.21 × 65,992.59
  4. Step 4: Simplify right side
    228,134.07x = 22,579,378,526.94
  5. Step 5: Solve for x
    x = 22,579,378,526.94/228,134.07
  6. Step 6: Final answer
    x = 98,974.16

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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.