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Finding the Fourth Proportional to 164,827.29, 227,423.51 and 111,211.77

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Solution

The fourth proportional to 164,827.29, 227,423.51 and 111,211.77 is: 153,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,827.29 : 227,423.51 = 111,211.77 : x
  2. Step 2: Convert to fraction form
    164,827.29/227,423.51 = 111,211.77/x
  3. Step 3: Cross multiply
    164,827.29x = 227,423.51 × 111,211.77
  4. Step 4: Simplify right side
    164,827.29x = 25,292,170,530.65
  5. Step 5: Solve for x
    x = 25,292,170,530.65/164,827.29
  6. Step 6: Final answer
    x = 153,446.50

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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.