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Finding the Fourth Proportional to 230,008.82, 345,160.86 and 111,615.58

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Solution

The fourth proportional to 230,008.82, 345,160.86 and 111,615.58 is: 167,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,008.82 : 345,160.86 = 111,615.58 : x
  2. Step 2: Convert to fraction form
    230,008.82/345,160.86 = 111,615.58/x
  3. Step 3: Cross multiply
    230,008.82x = 345,160.86 × 111,615.58
  4. Step 4: Simplify right side
    230,008.82x = 38,525,329,582.20
  5. Step 5: Solve for x
    x = 38,525,329,582.20/230,008.82
  6. Step 6: Final answer
    x = 167,495.01

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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.