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Finding the Fourth Proportional to 229,415.03, 316,583.94 and 127,446.90

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Solution

The fourth proportional to 229,415.03, 316,583.94 and 127,446.90 is: 175,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,415.03 : 316,583.94 = 127,446.90 : x
  2. Step 2: Convert to fraction form
    229,415.03/316,583.94 = 127,446.90/x
  3. Step 3: Cross multiply
    229,415.03x = 316,583.94 × 127,446.90
  4. Step 4: Simplify right side
    229,415.03x = 40,347,641,340.01
  5. Step 5: Solve for x
    x = 40,347,641,340.01/229,415.03
  6. Step 6: Final answer
    x = 175,871.83

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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.