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Finding the Fourth Proportional to 174,212.40, 260,735.40 and 153,217.20

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Solution

The fourth proportional to 174,212.40, 260,735.40 and 153,217.20 is: 229,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,212.40 : 260,735.40 = 153,217.20 : x
  2. Step 2: Convert to fraction form
    174,212.40/260,735.40 = 153,217.20/x
  3. Step 3: Cross multiply
    174,212.40x = 260,735.40 × 153,217.20
  4. Step 4: Simplify right side
    174,212.40x = 39,949,147,928.88
  5. Step 5: Solve for x
    x = 39,949,147,928.88/174,212.40
  6. Step 6: Final answer
    x = 229,312.88

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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.