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Finding the Fourth Proportional to 201,410.40, 301,856.40 and 154,430.40

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Solution

The fourth proportional to 201,410.40, 301,856.40 and 154,430.40 is: 231,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,410.40 : 301,856.40 = 154,430.40 : x
  2. Step 2: Convert to fraction form
    201,410.40/301,856.40 = 154,430.40/x
  3. Step 3: Cross multiply
    201,410.40x = 301,856.40 × 154,430.40
  4. Step 4: Simplify right side
    201,410.40x = 46,615,804,594.56
  5. Step 5: Solve for x
    x = 46,615,804,594.56/201,410.40
  6. Step 6: Final answer
    x = 231,446.86

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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.