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Finding the Fourth Proportional to 229,471.46, 316,650.80 and 127,495.05

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Solution

The fourth proportional to 229,471.46, 316,650.80 and 127,495.05 is: 175,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,471.46 : 316,650.80 = 127,495.05 : x
  2. Step 2: Convert to fraction form
    229,471.46/316,650.80 = 127,495.05/x
  3. Step 3: Cross multiply
    229,471.46x = 316,650.80 × 127,495.05
  4. Step 4: Simplify right side
    229,471.46x = 40,371,408,941.06
  5. Step 5: Solve for x
    x = 40,371,408,941.06/229,471.46
  6. Step 6: Final answer
    x = 175,932.16

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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.