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Finding the Fourth Proportional to 202,382.90, 303,315.15 and 155,402.90

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Solution

The fourth proportional to 202,382.90, 303,315.15 and 155,402.90 is: 232,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.90 : 303,315.15 = 155,402.90 : x
  2. Step 2: Convert to fraction form
    202,382.90/303,315.15 = 155,402.90/x
  3. Step 3: Cross multiply
    202,382.90x = 303,315.15 × 155,402.90
  4. Step 4: Simplify right side
    202,382.90x = 47,136,053,923.94
  5. Step 5: Solve for x
    x = 47,136,053,923.94/202,382.90
  6. Step 6: Final answer
    x = 232,905.32

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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.