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Finding the Fourth Proportional to 205,852.80, 308,779.20 and 87,494.40

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Solution

The fourth proportional to 205,852.80, 308,779.20 and 87,494.40 is: 131,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,852.80 : 308,779.20 = 87,494.40 : x
  2. Step 2: Convert to fraction form
    205,852.80/308,779.20 = 87,494.40/x
  3. Step 3: Cross multiply
    205,852.80x = 308,779.20 × 87,494.40
  4. Step 4: Simplify right side
    205,852.80x = 27,016,450,836.48
  5. Step 5: Solve for x
    x = 27,016,450,836.48/205,852.80
  6. Step 6: Final answer
    x = 131,241.60

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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.