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Finding the Fourth Proportional to 203,174.49, 280,569.27 and 152,098.55

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Solution

The fourth proportional to 203,174.49, 280,569.27 and 152,098.55 is: 210,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,174.49 : 280,569.27 = 152,098.55 : x
  2. Step 2: Convert to fraction form
    203,174.49/280,569.27 = 152,098.55/x
  3. Step 3: Cross multiply
    203,174.49x = 280,569.27 × 152,098.55
  4. Step 4: Simplify right side
    203,174.49x = 42,674,178,951.44
  5. Step 5: Solve for x
    x = 42,674,178,951.44/203,174.49
  6. Step 6: Final answer
    x = 210,037.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.