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Finding the Fourth Proportional to 200,950.90, 301,167.15 and 153,970.90

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Solution

The fourth proportional to 200,950.90, 301,167.15 and 153,970.90 is: 230,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,950.90 : 301,167.15 = 153,970.90 : x
  2. Step 2: Convert to fraction form
    200,950.90/301,167.15 = 153,970.90/x
  3. Step 3: Cross multiply
    200,950.90x = 301,167.15 × 153,970.90
  4. Step 4: Simplify right side
    200,950.90x = 46,370,977,135.94
  5. Step 5: Solve for x
    x = 46,370,977,135.94/200,950.90
  6. Step 6: Final answer
    x = 230,757.75

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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.