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Finding the Fourth Proportional to 228,309.38, 342,582.19 and 165,646.71

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Solution

The fourth proportional to 228,309.38, 342,582.19 and 165,646.71 is: 248,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,309.38 : 342,582.19 = 165,646.71 : x
  2. Step 2: Convert to fraction form
    228,309.38/342,582.19 = 165,646.71/x
  3. Step 3: Cross multiply
    228,309.38x = 342,582.19 × 165,646.71
  4. Step 4: Simplify right side
    228,309.38x = 56,747,612,263.98
  5. Step 5: Solve for x
    x = 56,747,612,263.98/228,309.38
  6. Step 6: Final answer
    x = 248,555.76

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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.