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Finding the Fourth Proportional to 230,230.34, 344,707.77 and 117,668.18

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Solution

The fourth proportional to 230,230.34, 344,707.77 and 117,668.18 is: 176,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,230.34 : 344,707.77 = 117,668.18 : x
  2. Step 2: Convert to fraction form
    230,230.34/344,707.77 = 117,668.18/x
  3. Step 3: Cross multiply
    230,230.34x = 344,707.77 × 117,668.18
  4. Step 4: Simplify right side
    230,230.34x = 40,561,134,204.22
  5. Step 5: Solve for x
    x = 40,561,134,204.22/230,230.34
  6. Step 6: Final answer
    x = 176,176.32

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