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Finding the Fourth Proportional to 202,384.10, 303,662.55 and 97,148.90

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Solution

The fourth proportional to 202,384.10, 303,662.55 and 97,148.90 is: 145,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384.10 : 303,662.55 = 97,148.90 : x
  2. Step 2: Convert to fraction form
    202,384.10/303,662.55 = 97,148.90/x
  3. Step 3: Cross multiply
    202,384.10x = 303,662.55 × 97,148.90
  4. Step 4: Simplify right side
    202,384.10x = 29,500,482,703.70
  5. Step 5: Solve for x
    x = 29,500,482,703.70/202,384.10
  6. Step 6: Final answer
    x = 145,764.82

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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.