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Finding the Fourth Proportional to 305,132.50, 457,698.75 and 118,144

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Solution

The fourth proportional to 305,132.50, 457,698.75 and 118,144 is: 177,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,132.50 : 457,698.75 = 118,144 : x
  2. Step 2: Convert to fraction form
    305,132.50/457,698.75 = 118,144/x
  3. Step 3: Cross multiply
    305,132.50x = 457,698.75 × 118,144
  4. Step 4: Simplify right side
    305,132.50x = 54,074,361,120
  5. Step 5: Solve for x
    x = 54,074,361,120/305,132.50
  6. Step 6: Final answer
    x = 177,216

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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.