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Finding the Fourth Proportional to 229,597.40, 316,822.67 and 127,610.75

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Solution

The fourth proportional to 229,597.40, 316,822.67 and 127,610.75 is: 176,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,597.40 : 316,822.67 = 127,610.75 : x
  2. Step 2: Convert to fraction form
    229,597.40/316,822.67 = 127,610.75/x
  3. Step 3: Cross multiply
    229,597.40x = 316,822.67 × 127,610.75
  4. Step 4: Simplify right side
    229,597.40x = 40,429,979,168.25
  5. Step 5: Solve for x
    x = 40,429,979,168.25/229,597.40
  6. Step 6: Final answer
    x = 176,090.75

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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.