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Finding the Fourth Proportional to 205,052.60, 307,809.30 and 158,511.80

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Solution

The fourth proportional to 205,052.60, 307,809.30 and 158,511.80 is: 237,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,052.60 : 307,809.30 = 158,511.80 : x
  2. Step 2: Convert to fraction form
    205,052.60/307,809.30 = 158,511.80/x
  3. Step 3: Cross multiply
    205,052.60x = 307,809.30 × 158,511.80
  4. Step 4: Simplify right side
    205,052.60x = 48,791,406,199.74
  5. Step 5: Solve for x
    x = 48,791,406,199.74/205,052.60
  6. Step 6: Final answer
    x = 237,945.81

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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.