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Finding the Fourth Proportional to 175,878.80, 263,645.40 and 157,216.40

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Solution

The fourth proportional to 175,878.80, 263,645.40 and 157,216.40 is: 235,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,878.80 : 263,645.40 = 157,216.40 : x
  2. Step 2: Convert to fraction form
    175,878.80/263,645.40 = 157,216.40/x
  3. Step 3: Cross multiply
    175,878.80x = 263,645.40 × 157,216.40
  4. Step 4: Simplify right side
    175,878.80x = 41,449,380,664.56
  5. Step 5: Solve for x
    x = 41,449,380,664.56/175,878.80
  6. Step 6: Final answer
    x = 235,670.14

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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.