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Finding the Fourth Proportional to 200,899.67, 301,349.52 and 156,559.64

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Solution

The fourth proportional to 200,899.67, 301,349.52 and 156,559.64 is: 234,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,899.67 : 301,349.52 = 156,559.64 : x
  2. Step 2: Convert to fraction form
    200,899.67/301,349.52 = 156,559.64/x
  3. Step 3: Cross multiply
    200,899.67x = 301,349.52 × 156,559.64
  4. Step 4: Simplify right side
    200,899.67x = 47,179,170,858.63
  5. Step 5: Solve for x
    x = 47,179,170,858.63/200,899.67
  6. Step 6: Final answer
    x = 234,839.47

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1.5x scale

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.