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Finding the Fourth Proportional to 202,432.30, 303,467.99 and 102,541.08

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Solution

The fourth proportional to 202,432.30, 303,467.99 and 102,541.08 is: 153,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,432.30 : 303,467.99 = 102,541.08 : x
  2. Step 2: Convert to fraction form
    202,432.30/303,467.99 = 102,541.08/x
  3. Step 3: Cross multiply
    202,432.30x = 303,467.99 × 102,541.08
  4. Step 4: Simplify right side
    202,432.30x = 31,117,934,358.32
  5. Step 5: Solve for x
    x = 31,117,934,358.32/202,432.30
  6. Step 6: Final answer
    x = 153,720.20

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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.