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Finding the Fourth Proportional to 229,411.44, 316,577.57 and 127,443.78

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Solution

The fourth proportional to 229,411.44, 316,577.57 and 127,443.78 is: 175,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,411.44 : 316,577.57 = 127,443.78 : x
  2. Step 2: Convert to fraction form
    229,411.44/316,577.57 = 127,443.78/x
  3. Step 3: Cross multiply
    229,411.44x = 316,577.57 × 127,443.78
  4. Step 4: Simplify right side
    229,411.44x = 40,345,841,546.80
  5. Step 5: Solve for x
    x = 40,345,841,546.80/229,411.44
  6. Step 6: Final answer
    x = 175,866.74

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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.