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Finding the Fourth Proportional to 205,532.37, 308,298.15 and 77,472.59

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Solution

The fourth proportional to 205,532.37, 308,298.15 and 77,472.59 is: 116,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,532.37 : 308,298.15 = 77,472.59 : x
  2. Step 2: Convert to fraction form
    205,532.37/308,298.15 = 77,472.59/x
  3. Step 3: Cross multiply
    205,532.37x = 308,298.15 × 77,472.59
  4. Step 4: Simplify right side
    205,532.37x = 23,884,654,631.22
  5. Step 5: Solve for x
    x = 23,884,654,631.22/205,532.37
  6. Step 6: Final answer
    x = 116,208.72

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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.