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Finding the Fourth Proportional to 229,156, 316,237.44 and 128,556.16

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Solution

The fourth proportional to 229,156, 316,237.44 and 128,556.16 is: 177,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,156 : 316,237.44 = 128,556.16 : x
  2. Step 2: Convert to fraction form
    229,156/316,237.44 = 128,556.16/x
  3. Step 3: Cross multiply
    229,156x = 316,237.44 × 128,556.16
  4. Step 4: Simplify right side
    229,156x = 40,654,270,934.63
  5. Step 5: Solve for x
    x = 40,654,270,934.63/229,156
  6. Step 6: Final answer
    x = 177,408.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.