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Finding the Fourth Proportional to 200,949.90, 301,165.65 and 153,969.90

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Solution

The fourth proportional to 200,949.90, 301,165.65 and 153,969.90 is: 230,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,949.90 : 301,165.65 = 153,969.90 : x
  2. Step 2: Convert to fraction form
    200,949.90/301,165.65 = 153,969.90/x
  3. Step 3: Cross multiply
    200,949.90x = 301,165.65 × 153,969.90
  4. Step 4: Simplify right side
    200,949.90x = 46,370,445,013.94
  5. Step 5: Solve for x
    x = 46,370,445,013.94/200,949.90
  6. Step 6: Final answer
    x = 230,756.25

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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.