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Finding the Fourth Proportional to 205,509.02, 308,438.49 and 80,937.50

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Solution

The fourth proportional to 205,509.02, 308,438.49 and 80,937.50 is: 121,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509.02 : 308,438.49 = 80,937.50 : x
  2. Step 2: Convert to fraction form
    205,509.02/308,438.49 = 80,937.50/x
  3. Step 3: Cross multiply
    205,509.02x = 308,438.49 × 80,937.50
  4. Step 4: Simplify right side
    205,509.02x = 24,964,240,284.38
  5. Step 5: Solve for x
    x = 24,964,240,284.38/205,509.02
  6. Step 6: Final answer
    x = 121,475.16

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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.