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Finding the Fourth Proportional to 200,575.14, 300,860.41 and 48,773.08

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Solution

The fourth proportional to 200,575.14, 300,860.41 and 48,773.08 is: 73,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,575.14 : 300,860.41 = 48,773.08 : x
  2. Step 2: Convert to fraction form
    200,575.14/300,860.41 = 48,773.08/x
  3. Step 3: Cross multiply
    200,575.14x = 300,860.41 × 48,773.08
  4. Step 4: Simplify right side
    200,575.14x = 14,673,888,845.76
  5. Step 5: Solve for x
    x = 14,673,888,845.76/200,575.14
  6. Step 6: Final answer
    x = 73,159.06

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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.