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Finding the Fourth Proportional to 228,677.09, 342,950.81 and 144,310.86

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Solution

The fourth proportional to 228,677.09, 342,950.81 and 144,310.86 is: 216,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,677.09 : 342,950.81 = 144,310.86 : x
  2. Step 2: Convert to fraction form
    228,677.09/342,950.81 = 144,310.86/x
  3. Step 3: Cross multiply
    228,677.09x = 342,950.81 × 144,310.86
  4. Step 4: Simplify right side
    228,677.09x = 49,491,525,607.24
  5. Step 5: Solve for x
    x = 49,491,525,607.24/228,677.09
  6. Step 6: Final answer
    x = 216,425.38

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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.