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Finding the Fourth Proportional to 229,343.26, 316,482.96 and 127,375.30

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Solution

The fourth proportional to 229,343.26, 316,482.96 and 127,375.30 is: 175,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,343.26 : 316,482.96 = 127,375.30 : x
  2. Step 2: Convert to fraction form
    229,343.26/316,482.96 = 127,375.30/x
  3. Step 3: Cross multiply
    229,343.26x = 316,482.96 × 127,375.30
  4. Step 4: Simplify right side
    229,343.26x = 40,312,111,974.89
  5. Step 5: Solve for x
    x = 40,312,111,974.89/229,343.26
  6. Step 6: Final answer
    x = 175,771.95

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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.