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Finding the Fourth Proportional to 205,765.60, 308,648.40 and 65,538.40

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Solution

The fourth proportional to 205,765.60, 308,648.40 and 65,538.40 is: 98,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.60 : 308,648.40 = 65,538.40 : x
  2. Step 2: Convert to fraction form
    205,765.60/308,648.40 = 65,538.40/x
  3. Step 3: Cross multiply
    205,765.60x = 308,648.40 × 65,538.40
  4. Step 4: Simplify right side
    205,765.60x = 20,228,322,298.56
  5. Step 5: Solve for x
    x = 20,228,322,298.56/205,765.60
  6. Step 6: Final answer
    x = 98,307.60

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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.