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Finding the Fourth Proportional to 225,852.60, 311,811.72 and 141,084.48

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Solution

The fourth proportional to 225,852.60, 311,811.72 and 141,084.48 is: 194,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,852.60 : 311,811.72 = 141,084.48 : x
  2. Step 2: Convert to fraction form
    225,852.60/311,811.72 = 141,084.48/x
  3. Step 3: Cross multiply
    225,852.60x = 311,811.72 × 141,084.48
  4. Step 4: Simplify right side
    225,852.60x = 43,991,794,374.11
  5. Step 5: Solve for x
    x = 43,991,794,374.11/225,852.60
  6. Step 6: Final answer
    x = 194,781.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.