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Finding the Fourth Proportional to 200,902.64, 301,438.50 and 125,064.66

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Solution

The fourth proportional to 200,902.64, 301,438.50 and 125,064.66 is: 187,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,902.64 : 301,438.50 = 125,064.66 : x
  2. Step 2: Convert to fraction form
    200,902.64/301,438.50 = 125,064.66/x
  3. Step 3: Cross multiply
    200,902.64x = 301,438.50 × 125,064.66
  4. Step 4: Simplify right side
    200,902.64x = 37,699,303,513.41
  5. Step 5: Solve for x
    x = 37,699,303,513.41/200,902.64
  6. Step 6: Final answer
    x = 187,649.62

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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.