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Finding the Fourth Proportional to 202,208.40, 303,312.60 and 194,432.40

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Solution

The fourth proportional to 202,208.40, 303,312.60 and 194,432.40 is: 291,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208.40 : 303,312.60 = 194,432.40 : x
  2. Step 2: Convert to fraction form
    202,208.40/303,312.60 = 194,432.40/x
  3. Step 3: Cross multiply
    202,208.40x = 303,312.60 × 194,432.40
  4. Step 4: Simplify right side
    202,208.40x = 58,973,796,768.24
  5. Step 5: Solve for x
    x = 58,973,796,768.24/202,208.40
  6. Step 6: Final answer
    x = 291,648.60

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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.