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Finding the Fourth Proportional to 188,975, 283,506.24 and 64,316

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Solution

The fourth proportional to 188,975, 283,506.24 and 64,316 is: 96,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,975 : 283,506.24 = 64,316 : x
  2. Step 2: Convert to fraction form
    188,975/283,506.24 = 64,316/x
  3. Step 3: Cross multiply
    188,975x = 283,506.24 × 64,316
  4. Step 4: Simplify right side
    188,975x = 18,233,987,331.84
  5. Step 5: Solve for x
    x = 18,233,987,331.84/188,975
  6. Step 6: Final answer
    x = 96,488.89

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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.