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Finding the Fourth Proportional to 216,735.60, 324,714.60 and 185,631.60

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Solution

The fourth proportional to 216,735.60, 324,714.60 and 185,631.60 is: 278,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,735.60 : 324,714.60 = 185,631.60 : x
  2. Step 2: Convert to fraction form
    216,735.60/324,714.60 = 185,631.60/x
  3. Step 3: Cross multiply
    216,735.60x = 324,714.60 × 185,631.60
  4. Step 4: Simplify right side
    216,735.60x = 60,277,290,741.36
  5. Step 5: Solve for x
    x = 60,277,290,741.36/216,735.60
  6. Step 6: Final answer
    x = 278,114.40

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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.