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Finding the Fourth Proportional to 200,878.70, 301,318.05 and 51,118.70

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Solution

The fourth proportional to 200,878.70, 301,318.05 and 51,118.70 is: 76,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,878.70 : 301,318.05 = 51,118.70 : x
  2. Step 2: Convert to fraction form
    200,878.70/301,318.05 = 51,118.70/x
  3. Step 3: Cross multiply
    200,878.70x = 301,318.05 × 51,118.70
  4. Step 4: Simplify right side
    200,878.70x = 15,402,987,002.54
  5. Step 5: Solve for x
    x = 15,402,987,002.54/200,878.70
  6. Step 6: Final answer
    x = 76,678.05

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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.