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Finding the Fourth Proportional to 153,871.26, 230,199.57 and 116,538.90

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Solution

The fourth proportional to 153,871.26, 230,199.57 and 116,538.90 is: 174,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,871.26 : 230,199.57 = 116,538.90 : x
  2. Step 2: Convert to fraction form
    153,871.26/230,199.57 = 116,538.90/x
  3. Step 3: Cross multiply
    153,871.26x = 230,199.57 × 116,538.90
  4. Step 4: Simplify right side
    153,871.26x = 26,827,204,668.27
  5. Step 5: Solve for x
    x = 26,827,204,668.27/153,871.26
  6. Step 6: Final answer
    x = 174,348.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.