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Finding the Fourth Proportional to 202,373.10, 303,559.65 and 102,840.30

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Solution

The fourth proportional to 202,373.10, 303,559.65 and 102,840.30 is: 154,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,373.10 : 303,559.65 = 102,840.30 : x
  2. Step 2: Convert to fraction form
    202,373.10/303,559.65 = 102,840.30/x
  3. Step 3: Cross multiply
    202,373.10x = 303,559.65 × 102,840.30
  4. Step 4: Simplify right side
    202,373.10x = 31,218,165,473.90
  5. Step 5: Solve for x
    x = 31,218,165,473.90/202,373.10
  6. Step 6: Final answer
    x = 154,260.45

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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.