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Finding the Fourth Proportional to 188,306, 282,458.76 and 48,064.64

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Solution

The fourth proportional to 188,306, 282,458.76 and 48,064.64 is: 72,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,306 : 282,458.76 = 48,064.64 : x
  2. Step 2: Convert to fraction form
    188,306/282,458.76 = 48,064.64/x
  3. Step 3: Cross multiply
    188,306x = 282,458.76 × 48,064.64
  4. Step 4: Simplify right side
    188,306x = 13,576,278,614.25
  5. Step 5: Solve for x
    x = 13,576,278,614.25/188,306
  6. Step 6: Final answer
    x = 72,096.90

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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.