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Finding the Fourth Proportional to 205,242.34, 307,909.68 and 72,131.80

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Solution

The fourth proportional to 205,242.34, 307,909.68 and 72,131.80 is: 108,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,242.34 : 307,909.68 = 72,131.80 : x
  2. Step 2: Convert to fraction form
    205,242.34/307,909.68 = 72,131.80/x
  3. Step 3: Cross multiply
    205,242.34x = 307,909.68 × 72,131.80
  4. Step 4: Simplify right side
    205,242.34x = 22,210,079,455.82
  5. Step 5: Solve for x
    x = 22,210,079,455.82/205,242.34
  6. Step 6: Final answer
    x = 108,213.93

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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.