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Finding the Fourth Proportional to 365,772.28, 548,705.16 and 141,196.97

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Solution

The fourth proportional to 365,772.28, 548,705.16 and 141,196.97 is: 211,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,772.28 : 548,705.16 = 141,196.97 : x
  2. Step 2: Convert to fraction form
    365,772.28/548,705.16 = 141,196.97/x
  3. Step 3: Cross multiply
    365,772.28x = 548,705.16 × 141,196.97
  4. Step 4: Simplify right side
    365,772.28x = 77,475,507,784.24
  5. Step 5: Solve for x
    x = 77,475,507,784.24/365,772.28
  6. Step 6: Final answer
    x = 211,813.50

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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.