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Finding the Fourth Proportional to 229,200.98, 316,295.69 and 127,222.92

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Solution

The fourth proportional to 229,200.98, 316,295.69 and 127,222.92 is: 175,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,200.98 : 316,295.69 = 127,222.92 : x
  2. Step 2: Convert to fraction form
    229,200.98/316,295.69 = 127,222.92/x
  3. Step 3: Cross multiply
    229,200.98x = 316,295.69 × 127,222.92
  4. Step 4: Simplify right side
    229,200.98x = 40,240,060,629.10
  5. Step 5: Solve for x
    x = 40,240,060,629.10/229,200.98
  6. Step 6: Final answer
    x = 175,566.71

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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.