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Finding the Fourth Proportional to 205,615.40, 308,423.10 and 158,901.80

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Solution

The fourth proportional to 205,615.40, 308,423.10 and 158,901.80 is: 238,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,615.40 : 308,423.10 = 158,901.80 : x
  2. Step 2: Convert to fraction form
    205,615.40/308,423.10 = 158,901.80/x
  3. Step 3: Cross multiply
    205,615.40x = 308,423.10 × 158,901.80
  4. Step 4: Simplify right side
    205,615.40x = 49,008,985,751.58
  5. Step 5: Solve for x
    x = 49,008,985,751.58/205,615.40
  6. Step 6: Final answer
    x = 238,352.70

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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.