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Finding the Fourth Proportional to 229,536.59, 316,918.17 and 143,532.81

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Solution

The fourth proportional to 229,536.59, 316,918.17 and 143,532.81 is: 198,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,536.59 : 316,918.17 = 143,532.81 : x
  2. Step 2: Convert to fraction form
    229,536.59/316,918.17 = 143,532.81/x
  3. Step 3: Cross multiply
    229,536.59x = 316,918.17 × 143,532.81
  4. Step 4: Simplify right side
    229,536.59x = 45,488,155,480.16
  5. Step 5: Solve for x
    x = 45,488,155,480.16/229,536.59
  6. Step 6: Final answer
    x = 198,173.88

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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.