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Finding the Fourth Proportional to 204,538.60, 306,807.90 and 186,823.90

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Solution

The fourth proportional to 204,538.60, 306,807.90 and 186,823.90 is: 280,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538.60 : 306,807.90 = 186,823.90 : x
  2. Step 2: Convert to fraction form
    204,538.60/306,807.90 = 186,823.90/x
  3. Step 3: Cross multiply
    204,538.60x = 306,807.90 × 186,823.90
  4. Step 4: Simplify right side
    204,538.60x = 57,319,048,428.81
  5. Step 5: Solve for x
    x = 57,319,048,428.81/204,538.60
  6. Step 6: Final answer
    x = 280,235.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.