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Finding the Fourth Proportional to 202,149.90, 302,969.70 and 102,337.65

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Solution

The fourth proportional to 202,149.90, 302,969.70 and 102,337.65 is: 153,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,149.90 : 302,969.70 = 102,337.65 : x
  2. Step 2: Convert to fraction form
    202,149.90/302,969.70 = 102,337.65/x
  3. Step 3: Cross multiply
    202,149.90x = 302,969.70 × 102,337.65
  4. Step 4: Simplify right side
    202,149.90x = 31,005,207,119.21
  5. Step 5: Solve for x
    x = 31,005,207,119.21/202,149.90
  6. Step 6: Final answer
    x = 153,377.31

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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.