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Finding the Fourth Proportional to 202,357.30, 303,535.95 and 109,045.30

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Solution

The fourth proportional to 202,357.30, 303,535.95 and 109,045.30 is: 163,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.30 : 303,535.95 = 109,045.30 : x
  2. Step 2: Convert to fraction form
    202,357.30/303,535.95 = 109,045.30/x
  3. Step 3: Cross multiply
    202,357.30x = 303,535.95 × 109,045.30
  4. Step 4: Simplify right side
    202,357.30x = 33,099,168,728.54
  5. Step 5: Solve for x
    x = 33,099,168,728.54/202,357.30
  6. Step 6: Final answer
    x = 163,567.95

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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.