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Finding the Fourth Proportional to 201,875.70, 303,141.60 and 146,107.20

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Solution

The fourth proportional to 201,875.70, 303,141.60 and 146,107.20 is: 219,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,875.70 : 303,141.60 = 146,107.20 : x
  2. Step 2: Convert to fraction form
    201,875.70/303,141.60 = 146,107.20/x
  3. Step 3: Cross multiply
    201,875.70x = 303,141.60 × 146,107.20
  4. Step 4: Simplify right side
    201,875.70x = 44,291,170,379.52
  5. Step 5: Solve for x
    x = 44,291,170,379.52/201,875.70
  6. Step 6: Final answer
    x = 219,398.23

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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.