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Finding the Fourth Proportional to 255,834.86, 353,008.05 and 164,034.42

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Solution

The fourth proportional to 255,834.86, 353,008.05 and 164,034.42 is: 226,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,834.86 : 353,008.05 = 164,034.42 : x
  2. Step 2: Convert to fraction form
    255,834.86/353,008.05 = 164,034.42/x
  3. Step 3: Cross multiply
    255,834.86x = 353,008.05 × 164,034.42
  4. Step 4: Simplify right side
    255,834.86x = 57,905,470,737.08
  5. Step 5: Solve for x
    x = 57,905,470,737.08/255,834.86
  6. Step 6: Final answer
    x = 226,339.26

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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.