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Finding the Fourth Proportional to 229,143.05, 316,145.87 and 132,334.49

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Solution

The fourth proportional to 229,143.05, 316,145.87 and 132,334.49 is: 182,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,143.05 : 316,145.87 = 132,334.49 : x
  2. Step 2: Convert to fraction form
    229,143.05/316,145.87 = 132,334.49/x
  3. Step 3: Cross multiply
    229,143.05x = 316,145.87 × 132,334.49
  4. Step 4: Simplify right side
    229,143.05x = 41,837,001,810.38
  5. Step 5: Solve for x
    x = 41,837,001,810.38/229,143.05
  6. Step 6: Final answer
    x = 182,580.28

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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.