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Finding the Fourth Proportional to 157,435.60, 235,999.80 and 140,846.80

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Solution

The fourth proportional to 157,435.60, 235,999.80 and 140,846.80 is: 211,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,435.60 : 235,999.80 = 140,846.80 : x
  2. Step 2: Convert to fraction form
    157,435.60/235,999.80 = 140,846.80/x
  3. Step 3: Cross multiply
    157,435.60x = 235,999.80 × 140,846.80
  4. Step 4: Simplify right side
    157,435.60x = 33,239,816,630.64
  5. Step 5: Solve for x
    x = 33,239,816,630.64/157,435.60
  6. Step 6: Final answer
    x = 211,132.78

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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.